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Finding the Fourth Proportional to 123,871.58, 185,807.31 and 35,125.85

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Solution

The fourth proportional to 123,871.58, 185,807.31 and 35,125.85 is: 52,688.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,871.58 : 185,807.31 = 35,125.85 : x
  2. Step 2: Convert to fraction form
    123,871.58/185,807.31 = 35,125.85/x
  3. Step 3: Cross multiply
    123,871.58x = 185,807.31 × 35,125.85
  4. Step 4: Simplify right side
    123,871.58x = 6,526,639,699.96
  5. Step 5: Solve for x
    x = 6,526,639,699.96/123,871.58
  6. Step 6: Final answer
    x = 52,688.76

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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.