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Finding the Fourth Proportional to 52,507.62, 78,737.74 and 15,059.10

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Solution

The fourth proportional to 52,507.62, 78,737.74 and 15,059.10 is: 22,581.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,507.62 : 78,737.74 = 15,059.10 : x
  2. Step 2: Convert to fraction form
    52,507.62/78,737.74 = 15,059.10/x
  3. Step 3: Cross multiply
    52,507.62x = 78,737.74 × 15,059.10
  4. Step 4: Simplify right side
    52,507.62x = 1,185,719,031.45
  5. Step 5: Solve for x
    x = 1,185,719,031.45/52,507.62
  6. Step 6: Final answer
    x = 22,581.85

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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.