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Finding the Fourth Proportional to 34,165.62, 51,244.63 and 9,208.15

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Solution

The fourth proportional to 34,165.62, 51,244.63 and 9,208.15 is: 13,811.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,165.62 : 51,244.63 = 9,208.15 : x
  2. Step 2: Convert to fraction form
    34,165.62/51,244.63 = 9,208.15/x
  3. Step 3: Cross multiply
    34,165.62x = 51,244.63 × 9,208.15
  4. Step 4: Simplify right side
    34,165.62x = 471,868,088.60
  5. Step 5: Solve for x
    x = 471,868,088.60/34,165.62
  6. Step 6: Final answer
    x = 13,811.20

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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.