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Finding the Fourth Proportional to 34,580.82, 51,866.04 and 9,618.24

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Solution

The fourth proportional to 34,580.82, 51,866.04 and 9,618.24 is: 14,425.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,580.82 : 51,866.04 = 9,618.24 : x
  2. Step 2: Convert to fraction form
    34,580.82/51,866.04 = 9,618.24/x
  3. Step 3: Cross multiply
    34,580.82x = 51,866.04 × 9,618.24
  4. Step 4: Simplify right side
    34,580.82x = 498,860,020.57
  5. Step 5: Solve for x
    x = 498,860,020.57/34,580.82
  6. Step 6: Final answer
    x = 14,425.92

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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.