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Finding the Fourth Proportional to 31,503.48, 47,284.50 and 15,932.28

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Solution

The fourth proportional to 31,503.48, 47,284.50 and 15,932.28 is: 23,913.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,503.48 : 47,284.50 = 15,932.28 : x
  2. Step 2: Convert to fraction form
    31,503.48/47,284.50 = 15,932.28/x
  3. Step 3: Cross multiply
    31,503.48x = 47,284.50 × 15,932.28
  4. Step 4: Simplify right side
    31,503.48x = 753,349,893.66
  5. Step 5: Solve for x
    x = 753,349,893.66/31,503.48
  6. Step 6: Final answer
    x = 23,913.23

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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.