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Finding the Fourth Proportional to 31,345.60, 47,019.96 and 10,283.77

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Solution

The fourth proportional to 31,345.60, 47,019.96 and 10,283.77 is: 15,426.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,345.60 : 47,019.96 = 10,283.77 : x
  2. Step 2: Convert to fraction form
    31,345.60/47,019.96 = 10,283.77/x
  3. Step 3: Cross multiply
    31,345.60x = 47,019.96 × 10,283.77
  4. Step 4: Simplify right side
    31,345.60x = 483,542,454.05
  5. Step 5: Solve for x
    x = 483,542,454.05/31,345.60
  6. Step 6: Final answer
    x = 15,426.17

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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.