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Finding the Fourth Proportional to 31,655.52, 47,486.94 and 14,123.16

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Solution

The fourth proportional to 31,655.52, 47,486.94 and 14,123.16 is: 21,186.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,655.52 : 47,486.94 = 14,123.16 : x
  2. Step 2: Convert to fraction form
    31,655.52/47,486.94 = 14,123.16/x
  3. Step 3: Cross multiply
    31,655.52x = 47,486.94 × 14,123.16
  4. Step 4: Simplify right side
    31,655.52x = 670,665,651.53
  5. Step 5: Solve for x
    x = 670,665,651.53/31,655.52
  6. Step 6: Final answer
    x = 21,186.37

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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.