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Finding the Fourth Proportional to 34,165.52, 51,244.14 and 9,207.80

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Solution

The fourth proportional to 34,165.52, 51,244.14 and 9,207.80 is: 13,810.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,165.52 : 51,244.14 = 9,207.80 : x
  2. Step 2: Convert to fraction form
    34,165.52/51,244.14 = 9,207.80/x
  3. Step 3: Cross multiply
    34,165.52x = 51,244.14 × 9,207.80
  4. Step 4: Simplify right side
    34,165.52x = 471,845,792.29
  5. Step 5: Solve for x
    x = 471,845,792.29/34,165.52
  6. Step 6: Final answer
    x = 13,810.58

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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.