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Finding the Fourth Proportional to 31,497.60, 47,253.06 and 10,436.45

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Solution

The fourth proportional to 31,497.60, 47,253.06 and 10,436.45 is: 15,656.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,497.60 : 47,253.06 = 10,436.45 : x
  2. Step 2: Convert to fraction form
    31,497.60/47,253.06 = 10,436.45/x
  3. Step 3: Cross multiply
    31,497.60x = 47,253.06 × 10,436.45
  4. Step 4: Simplify right side
    31,497.60x = 493,153,961.77
  5. Step 5: Solve for x
    x = 493,153,961.77/31,497.60
  6. Step 6: Final answer
    x = 15,656.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.