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Finding the Fourth Proportional to 31,031.27, 46,536.46 and 9,966.14

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Solution

The fourth proportional to 31,031.27, 46,536.46 and 9,966.14 is: 14,945.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,031.27 : 46,536.46 = 9,966.14 : x
  2. Step 2: Convert to fraction form
    31,031.27/46,536.46 = 9,966.14/x
  3. Step 3: Cross multiply
    31,031.27x = 46,536.46 × 9,966.14
  4. Step 4: Simplify right side
    31,031.27x = 463,788,792.38
  5. Step 5: Solve for x
    x = 463,788,792.38/31,031.27
  6. Step 6: Final answer
    x = 14,945.85

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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.