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Finding the Fourth Proportional to 46,798.84, 70,231.06 and 27,050.22

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Solution

The fourth proportional to 46,798.84, 70,231.06 and 27,050.22 is: 40,594.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,798.84 : 70,231.06 = 27,050.22 : x
  2. Step 2: Convert to fraction form
    46,798.84/70,231.06 = 27,050.22/x
  3. Step 3: Cross multiply
    46,798.84x = 70,231.06 × 27,050.22
  4. Step 4: Simplify right side
    46,798.84x = 1,899,765,623.83
  5. Step 5: Solve for x
    x = 1,899,765,623.83/46,798.84
  6. Step 6: Final answer
    x = 40,594.29

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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.