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Finding the Fourth Proportional to 31,534.39, 47,248.05 and 19,028.13

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Solution

The fourth proportional to 31,534.39, 47,248.05 and 19,028.13 is: 28,509.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,534.39 : 47,248.05 = 19,028.13 : x
  2. Step 2: Convert to fraction form
    31,534.39/47,248.05 = 19,028.13/x
  3. Step 3: Cross multiply
    31,534.39x = 47,248.05 × 19,028.13
  4. Step 4: Simplify right side
    31,534.39x = 899,042,144.08
  5. Step 5: Solve for x
    x = 899,042,144.08/31,534.39
  6. Step 6: Final answer
    x = 28,509.90

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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.