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Finding the Fourth Proportional to 74,718.70, 111,979.65 and 54,904.30

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Solution

The fourth proportional to 74,718.70, 111,979.65 and 54,904.30 is: 82,284.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,718.70 : 111,979.65 = 54,904.30 : x
  2. Step 2: Convert to fraction form
    74,718.70/111,979.65 = 54,904.30/x
  3. Step 3: Cross multiply
    74,718.70x = 111,979.65 × 54,904.30
  4. Step 4: Simplify right side
    74,718.70x = 6,148,164,297.50
  5. Step 5: Solve for x
    x = 6,148,164,297.50/74,718.70
  6. Step 6: Final answer
    x = 82,284.14

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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.