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Finding the Fourth Proportional to 59,206.50, 81,702.42 and 32,350.14

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Solution

The fourth proportional to 59,206.50, 81,702.42 and 32,350.14 is: 44,641.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,206.50 : 81,702.42 = 32,350.14 : x
  2. Step 2: Convert to fraction form
    59,206.50/81,702.42 = 32,350.14/x
  3. Step 3: Cross multiply
    59,206.50x = 81,702.42 × 32,350.14
  4. Step 4: Simplify right side
    59,206.50x = 2,643,084,725.34
  5. Step 5: Solve for x
    x = 2,643,084,725.34/59,206.50
  6. Step 6: Final answer
    x = 44,641.80

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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.