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Finding the Fourth Proportional to 47,098.64, 70,658.36 and 15,933.20

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Solution

The fourth proportional to 47,098.64, 70,658.36 and 15,933.20 is: 23,903.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,098.64 : 70,658.36 = 15,933.20 : x
  2. Step 2: Convert to fraction form
    47,098.64/70,658.36 = 15,933.20/x
  3. Step 3: Cross multiply
    47,098.64x = 70,658.36 × 15,933.20
  4. Step 4: Simplify right side
    47,098.64x = 1,125,813,781.55
  5. Step 5: Solve for x
    x = 1,125,813,781.55/47,098.64
  6. Step 6: Final answer
    x = 23,903.32

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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.