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Finding the Fourth Proportional to 55,358.42, 82,974.68 and 48,681.88

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Solution

The fourth proportional to 55,358.42, 82,974.68 and 48,681.88 is: 72,967.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,358.42 : 82,974.68 = 48,681.88 : x
  2. Step 2: Convert to fraction form
    55,358.42/82,974.68 = 48,681.88/x
  3. Step 3: Cross multiply
    55,358.42x = 82,974.68 × 48,681.88
  4. Step 4: Simplify right side
    55,358.42x = 4,039,363,414.80
  5. Step 5: Solve for x
    x = 4,039,363,414.80/55,358.42
  6. Step 6: Final answer
    x = 72,967.46

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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.