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Finding the Fourth Proportional to 27,242,828.20, 40,843,903.20 and 16,457,856.40

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Solution

The fourth proportional to 27,242,828.20, 40,843,903.20 and 16,457,856.40 is: 24,674,497.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,242,828.20 : 40,843,903.20 = 16,457,856.40 : x
  2. Step 2: Convert to fraction form
    27,242,828.20/40,843,903.20 = 16,457,856.40/x
  3. Step 3: Cross multiply
    27,242,828.20x = 40,843,903.20 × 16,457,856.40
  4. Step 4: Simplify right side
    27,242,828.20x = 672,203,093,681,100.50
  5. Step 5: Solve for x
    x = 672,203,093,681,100.50/27,242,828.20
  6. Step 6: Final answer
    x = 24,674,497.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.