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Finding the Fourth Proportional to 59,102.52, 81,575.16 and 38,962.96

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Solution

The fourth proportional to 59,102.52, 81,575.16 and 38,962.96 is: 53,777.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,102.52 : 81,575.16 = 38,962.96 : x
  2. Step 2: Convert to fraction form
    59,102.52/81,575.16 = 38,962.96/x
  3. Step 3: Cross multiply
    59,102.52x = 81,575.16 × 38,962.96
  4. Step 4: Simplify right side
    59,102.52x = 3,178,409,696.07
  5. Step 5: Solve for x
    x = 3,178,409,696.07/59,102.52
  6. Step 6: Final answer
    x = 53,777.90

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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.