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Finding the Fourth Proportional to 48,059.66, 71,989.02 and 38,648.90

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Solution

The fourth proportional to 48,059.66, 71,989.02 and 38,648.90 is: 57,892.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,059.66 : 71,989.02 = 38,648.90 : x
  2. Step 2: Convert to fraction form
    48,059.66/71,989.02 = 38,648.90/x
  3. Step 3: Cross multiply
    48,059.66x = 71,989.02 × 38,648.90
  4. Step 4: Simplify right side
    48,059.66x = 2,782,296,075.13
  5. Step 5: Solve for x
    x = 2,782,296,075.13/48,059.66
  6. Step 6: Final answer
    x = 57,892.55

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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.