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Finding the Fourth Proportional to 31,536.34, 47,304.69 and 9,349.90

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Solution

The fourth proportional to 31,536.34, 47,304.69 and 9,349.90 is: 14,024.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,536.34 : 47,304.69 = 9,349.90 : x
  2. Step 2: Convert to fraction form
    31,536.34/47,304.69 = 9,349.90/x
  3. Step 3: Cross multiply
    31,536.34x = 47,304.69 × 9,349.90
  4. Step 4: Simplify right side
    31,536.34x = 442,294,121.03
  5. Step 5: Solve for x
    x = 442,294,121.03/31,536.34
  6. Step 6: Final answer
    x = 14,024.90

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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.