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Finding the Fourth Proportional to 31,463.68, 47,223.60 and 13,008.64

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Solution

The fourth proportional to 31,463.68, 47,223.60 and 13,008.64 is: 19,524.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,463.68 : 47,223.60 = 13,008.64 : x
  2. Step 2: Convert to fraction form
    31,463.68/47,223.60 = 13,008.64/x
  3. Step 3: Cross multiply
    31,463.68x = 47,223.60 × 13,008.64
  4. Step 4: Simplify right side
    31,463.68x = 614,314,811.90
  5. Step 5: Solve for x
    x = 614,314,811.90/31,463.68
  6. Step 6: Final answer
    x = 19,524.57

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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.