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Finding the Fourth Proportional to 31,590.90, 47,402.82 and 12,884.76

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Solution

The fourth proportional to 31,590.90, 47,402.82 and 12,884.76 is: 19,333.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,590.90 : 47,402.82 = 12,884.76 : x
  2. Step 2: Convert to fraction form
    31,590.90/47,402.82 = 12,884.76/x
  3. Step 3: Cross multiply
    31,590.90x = 47,402.82 × 12,884.76
  4. Step 4: Simplify right side
    31,590.90x = 610,773,959.02
  5. Step 5: Solve for x
    x = 610,773,959.02/31,590.90
  6. Step 6: Final answer
    x = 19,333.86

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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.