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Finding the Fourth Proportional to 97,754.67, 134,870.09 and 54,727.83

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Solution

The fourth proportional to 97,754.67, 134,870.09 and 54,727.83 is: 75,506.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,754.67 : 134,870.09 = 54,727.83 : x
  2. Step 2: Convert to fraction form
    97,754.67/134,870.09 = 54,727.83/x
  3. Step 3: Cross multiply
    97,754.67x = 134,870.09 × 54,727.83
  4. Step 4: Simplify right side
    97,754.67x = 7,381,148,000.19
  5. Step 5: Solve for x
    x = 7,381,148,000.19/97,754.67
  6. Step 6: Final answer
    x = 75,506.86

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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.