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Finding the Fourth Proportional to 69,140.61, 103,743.18 and 35,842.50

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Solution

The fourth proportional to 69,140.61, 103,743.18 and 35,842.50 is: 53,780.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,140.61 : 103,743.18 = 35,842.50 : x
  2. Step 2: Convert to fraction form
    69,140.61/103,743.18 = 35,842.50/x
  3. Step 3: Cross multiply
    69,140.61x = 103,743.18 × 35,842.50
  4. Step 4: Simplify right side
    69,140.61x = 3,718,414,929.15
  5. Step 5: Solve for x
    x = 3,718,414,929.15/69,140.61
  6. Step 6: Final answer
    x = 53,780.48

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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.