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Finding the Fourth Proportional to 31,656.30, 47,448.81 and 24,291.78

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Solution

The fourth proportional to 31,656.30, 47,448.81 and 24,291.78 is: 36,410.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,656.30 : 47,448.81 = 24,291.78 : x
  2. Step 2: Convert to fraction form
    31,656.30/47,448.81 = 24,291.78/x
  3. Step 3: Cross multiply
    31,656.30x = 47,448.81 × 24,291.78
  4. Step 4: Simplify right side
    31,656.30x = 1,152,616,053.78
  5. Step 5: Solve for x
    x = 1,152,616,053.78/31,656.30
  6. Step 6: Final answer
    x = 36,410.32

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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.