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Finding the Fourth Proportional to 31,365.88, 47,058.05 and 16,585.18

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Solution

The fourth proportional to 31,365.88, 47,058.05 and 16,585.18 is: 24,882.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,365.88 : 47,058.05 = 16,585.18 : x
  2. Step 2: Convert to fraction form
    31,365.88/47,058.05 = 16,585.18/x
  3. Step 3: Cross multiply
    31,365.88x = 47,058.05 × 16,585.18
  4. Step 4: Simplify right side
    31,365.88x = 780,466,153.52
  5. Step 5: Solve for x
    x = 780,466,153.52/31,365.88
  6. Step 6: Final answer
    x = 24,882.65

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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.