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Finding the Fourth Proportional to 59,809.72, 82,538.16 and 32,952.16

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Solution

The fourth proportional to 59,809.72, 82,538.16 and 32,952.16 is: 45,474.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,809.72 : 82,538.16 = 32,952.16 : x
  2. Step 2: Convert to fraction form
    59,809.72/82,538.16 = 32,952.16/x
  3. Step 3: Cross multiply
    59,809.72x = 82,538.16 × 32,952.16
  4. Step 4: Simplify right side
    59,809.72x = 2,719,810,654.43
  5. Step 5: Solve for x
    x = 2,719,810,654.43/59,809.72
  6. Step 6: Final answer
    x = 45,474.39

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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.