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Finding the Fourth Proportional to 34,254.55, 51,382.88 and 9,294.50

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Solution

The fourth proportional to 34,254.55, 51,382.88 and 9,294.50 is: 13,942.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,254.55 : 51,382.88 = 9,294.50 : x
  2. Step 2: Convert to fraction form
    34,254.55/51,382.88 = 9,294.50/x
  3. Step 3: Cross multiply
    34,254.55x = 51,382.88 × 9,294.50
  4. Step 4: Simplify right side
    34,254.55x = 477,578,178.16
  5. Step 5: Solve for x
    x = 477,578,178.16/34,254.55
  6. Step 6: Final answer
    x = 13,942.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.