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Finding the Fourth Proportional to 31,440, 47,159.90 and 9,253.34

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Solution

The fourth proportional to 31,440, 47,159.90 and 9,253.34 is: 13,879.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,440 : 47,159.90 = 9,253.34 : x
  2. Step 2: Convert to fraction form
    31,440/47,159.90 = 9,253.34/x
  3. Step 3: Cross multiply
    31,440x = 47,159.90 × 9,253.34
  4. Step 4: Simplify right side
    31,440x = 436,386,589.07
  5. Step 5: Solve for x
    x = 436,386,589.07/31,440
  6. Step 6: Final answer
    x = 13,879.98

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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.