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Finding the Fourth Proportional to 83,148.40, 114,744.76 and 44,907.97

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Solution

The fourth proportional to 83,148.40, 114,744.76 and 44,907.97 is: 61,972.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,148.40 : 114,744.76 = 44,907.97 : x
  2. Step 2: Convert to fraction form
    83,148.40/114,744.76 = 44,907.97/x
  3. Step 3: Cross multiply
    83,148.40x = 114,744.76 × 44,907.97
  4. Step 4: Simplify right side
    83,148.40x = 5,152,954,239.74
  5. Step 5: Solve for x
    x = 5,152,954,239.74/83,148.40
  6. Step 6: Final answer
    x = 61,972.98

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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.