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Finding the Fourth Proportional to 75,686.74, 113,542.53 and 61,769.86

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Solution

The fourth proportional to 75,686.74, 113,542.53 and 61,769.86 is: 92,664.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,686.74 : 113,542.53 = 61,769.86 : x
  2. Step 2: Convert to fraction form
    75,686.74/113,542.53 = 61,769.86/x
  3. Step 3: Cross multiply
    75,686.74x = 113,542.53 × 61,769.86
  4. Step 4: Simplify right side
    75,686.74x = 7,013,506,182.15
  5. Step 5: Solve for x
    x = 7,013,506,182.15/75,686.74
  6. Step 6: Final answer
    x = 92,664.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.