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Finding the Fourth Proportional to 69,878.62, 96,432.69 and 41,583.70

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Solution

The fourth proportional to 69,878.62, 96,432.69 and 41,583.70 is: 57,385.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,878.62 : 96,432.69 = 41,583.70 : x
  2. Step 2: Convert to fraction form
    69,878.62/96,432.69 = 41,583.70/x
  3. Step 3: Cross multiply
    69,878.62x = 96,432.69 × 41,583.70
  4. Step 4: Simplify right side
    69,878.62x = 4,010,028,051.15
  5. Step 5: Solve for x
    x = 4,010,028,051.15/69,878.62
  6. Step 6: Final answer
    x = 57,385.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.