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Finding the Fourth Proportional to 59,065, 81,509.70 and 32,569

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Solution

The fourth proportional to 59,065, 81,509.70 and 32,569 is: 44,945.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,065 : 81,509.70 = 32,569 : x
  2. Step 2: Convert to fraction form
    59,065/81,509.70 = 32,569/x
  3. Step 3: Cross multiply
    59,065x = 81,509.70 × 32,569
  4. Step 4: Simplify right side
    59,065x = 2,654,689,419.30
  5. Step 5: Solve for x
    x = 2,654,689,419.30/59,065
  6. Step 6: Final answer
    x = 44,945.22

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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.