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Finding the Fourth Proportional to 83,147.90, 114,744.08 and 44,907.47

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Solution

The fourth proportional to 83,147.90, 114,744.08 and 44,907.47 is: 61,972.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,147.90 : 114,744.08 = 44,907.47 : x
  2. Step 2: Convert to fraction form
    83,147.90/114,744.08 = 44,907.47/x
  3. Step 3: Cross multiply
    83,147.90x = 114,744.08 × 44,907.47
  4. Step 4: Simplify right side
    83,147.90x = 5,152,865,532.02
  5. Step 5: Solve for x
    x = 5,152,865,532.02/83,147.90
  6. Step 6: Final answer
    x = 61,972.29

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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.