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Finding the Fourth Proportional to 52,565.59, 78,871.53 and 27,599.83

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Solution

The fourth proportional to 52,565.59, 78,871.53 and 27,599.83 is: 41,411.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,565.59 : 78,871.53 = 27,599.83 : x
  2. Step 2: Convert to fraction form
    52,565.59/78,871.53 = 27,599.83/x
  3. Step 3: Cross multiply
    52,565.59x = 78,871.53 × 27,599.83
  4. Step 4: Simplify right side
    52,565.59x = 2,176,841,017.02
  5. Step 5: Solve for x
    x = 2,176,841,017.02/52,565.59
  6. Step 6: Final answer
    x = 41,411.91

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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.