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Finding the Fourth Proportional to 31,614.42, 47,421.64 and 9,443.36

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Solution

The fourth proportional to 31,614.42, 47,421.64 and 9,443.36 is: 14,165.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,614.42 : 47,421.64 = 9,443.36 : x
  2. Step 2: Convert to fraction form
    31,614.42/47,421.64 = 9,443.36/x
  3. Step 3: Cross multiply
    31,614.42x = 47,421.64 × 9,443.36
  4. Step 4: Simplify right side
    31,614.42x = 447,819,618.31
  5. Step 5: Solve for x
    x = 447,819,618.31/31,614.42
  6. Step 6: Final answer
    x = 14,165.04

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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.