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Finding the Fourth Proportional to 65,903.45, 98,828.78 and 24,341.21

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Solution

The fourth proportional to 65,903.45, 98,828.78 and 24,341.21 is: 36,502.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,903.45 : 98,828.78 = 24,341.21 : x
  2. Step 2: Convert to fraction form
    65,903.45/98,828.78 = 24,341.21/x
  3. Step 3: Cross multiply
    65,903.45x = 98,828.78 × 24,341.21
  4. Step 4: Simplify right side
    65,903.45x = 2,405,611,966.32
  5. Step 5: Solve for x
    x = 2,405,611,966.32/65,903.45
  6. Step 6: Final answer
    x = 36,502.06

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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.