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Finding the Fourth Proportional to 132,477.52, 198,718.60 and 37,710.16

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Solution

The fourth proportional to 132,477.52, 198,718.60 and 37,710.16 is: 56,565.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,477.52 : 198,718.60 = 37,710.16 : x
  2. Step 2: Convert to fraction form
    132,477.52/198,718.60 = 37,710.16/x
  3. Step 3: Cross multiply
    132,477.52x = 198,718.60 × 37,710.16
  4. Step 4: Simplify right side
    132,477.52x = 7,493,710,200.98
  5. Step 5: Solve for x
    x = 7,493,710,200.98/132,477.52
  6. Step 6: Final answer
    x = 56,565.90

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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.