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Finding the Fourth Proportional to 31,393.60, 47,061.12 and 10,602.56

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Solution

The fourth proportional to 31,393.60, 47,061.12 and 10,602.56 is: 15,893.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,393.60 : 47,061.12 = 10,602.56 : x
  2. Step 2: Convert to fraction form
    31,393.60/47,061.12 = 10,602.56/x
  3. Step 3: Cross multiply
    31,393.60x = 47,061.12 × 10,602.56
  4. Step 4: Simplify right side
    31,393.60x = 498,968,348.47
  5. Step 5: Solve for x
    x = 498,968,348.47/31,393.60
  6. Step 6: Final answer
    x = 15,893.95

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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.