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Finding the Fourth Proportional to 31,652.64, 47,502.18 and 15,012.60

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Solution

The fourth proportional to 31,652.64, 47,502.18 and 15,012.60 is: 22,529.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,652.64 : 47,502.18 = 15,012.60 : x
  2. Step 2: Convert to fraction form
    31,652.64/47,502.18 = 15,012.60/x
  3. Step 3: Cross multiply
    31,652.64x = 47,502.18 × 15,012.60
  4. Step 4: Simplify right side
    31,652.64x = 713,131,227.47
  5. Step 5: Solve for x
    x = 713,131,227.47/31,652.64
  6. Step 6: Final answer
    x = 22,529.91

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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.