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Finding the Fourth Proportional to 31,616.44, 47,385.24 and 17,584

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Solution

The fourth proportional to 31,616.44, 47,385.24 and 17,584 is: 26,354.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,616.44 : 47,385.24 = 17,584 : x
  2. Step 2: Convert to fraction form
    31,616.44/47,385.24 = 17,584/x
  3. Step 3: Cross multiply
    31,616.44x = 47,385.24 × 17,584
  4. Step 4: Simplify right side
    31,616.44x = 833,222,060.16
  5. Step 5: Solve for x
    x = 833,222,060.16/31,616.44
  6. Step 6: Final answer
    x = 26,354.08

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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.