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Finding the Fourth Proportional to 71,594.85, 98,798.16 and 39,765.80

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Solution

The fourth proportional to 71,594.85, 98,798.16 and 39,765.80 is: 54,875.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,594.85 : 98,798.16 = 39,765.80 : x
  2. Step 2: Convert to fraction form
    71,594.85/98,798.16 = 39,765.80/x
  3. Step 3: Cross multiply
    71,594.85x = 98,798.16 × 39,765.80
  4. Step 4: Simplify right side
    71,594.85x = 3,928,788,117.92
  5. Step 5: Solve for x
    x = 3,928,788,117.92/71,594.85
  6. Step 6: Final answer
    x = 54,875.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.