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Finding the Fourth Proportional to 31,569.60, 47,296.80 and 19,243.20

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Solution

The fourth proportional to 31,569.60, 47,296.80 and 19,243.20 is: 28,829.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,569.60 : 47,296.80 = 19,243.20 : x
  2. Step 2: Convert to fraction form
    31,569.60/47,296.80 = 19,243.20/x
  3. Step 3: Cross multiply
    31,569.60x = 47,296.80 × 19,243.20
  4. Step 4: Simplify right side
    31,569.60x = 910,141,781.76
  5. Step 5: Solve for x
    x = 910,141,781.76/31,569.60
  6. Step 6: Final answer
    x = 28,829.69

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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.