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Finding the Fourth Proportional to 31,098.60, 42,882.16 and 21,009.52

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Solution

The fourth proportional to 31,098.60, 42,882.16 and 21,009.52 is: 28,970.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,098.60 : 42,882.16 = 21,009.52 : x
  2. Step 2: Convert to fraction form
    31,098.60/42,882.16 = 21,009.52/x
  3. Step 3: Cross multiply
    31,098.60x = 42,882.16 × 21,009.52
  4. Step 4: Simplify right side
    31,098.60x = 900,933,598.16
  5. Step 5: Solve for x
    x = 900,933,598.16/31,098.60
  6. Step 6: Final answer
    x = 28,970.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.