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Finding the Fourth Proportional to 31,242.80, 47,081.54 and 28,282.14

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Solution

The fourth proportional to 31,242.80, 47,081.54 and 28,282.14 is: 42,619.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,242.80 : 47,081.54 = 28,282.14 : x
  2. Step 2: Convert to fraction form
    31,242.80/47,081.54 = 28,282.14/x
  3. Step 3: Cross multiply
    31,242.80x = 47,081.54 × 28,282.14
  4. Step 4: Simplify right side
    31,242.80x = 1,331,566,564.28
  5. Step 5: Solve for x
    x = 1,331,566,564.28/31,242.80
  6. Step 6: Final answer
    x = 42,619.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.