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Finding the Fourth Proportional to 55,097.52, 76,034.19 and 29,947.02

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Solution

The fourth proportional to 55,097.52, 76,034.19 and 29,947.02 is: 41,326.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,097.52 : 76,034.19 = 29,947.02 : x
  2. Step 2: Convert to fraction form
    55,097.52/76,034.19 = 29,947.02/x
  3. Step 3: Cross multiply
    55,097.52x = 76,034.19 × 29,947.02
  4. Step 4: Simplify right side
    55,097.52x = 2,276,997,408.61
  5. Step 5: Solve for x
    x = 2,276,997,408.61/55,097.52
  6. Step 6: Final answer
    x = 41,326.68

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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.