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Finding the Fourth Proportional to 55,134.70, 76,085.85 and 29,984.38

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Solution

The fourth proportional to 55,134.70, 76,085.85 and 29,984.38 is: 41,378.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,134.70 : 76,085.85 = 29,984.38 : x
  2. Step 2: Convert to fraction form
    55,134.70/76,085.85 = 29,984.38/x
  3. Step 3: Cross multiply
    55,134.70x = 76,085.85 × 29,984.38
  4. Step 4: Simplify right side
    55,134.70x = 2,281,387,039.02
  5. Step 5: Solve for x
    x = 2,281,387,039.02/55,134.70
  6. Step 6: Final answer
    x = 41,378.42

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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.