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Finding the Fourth Proportional to 82,704.84, 114,115.04 and 48,700.91

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Solution

The fourth proportional to 82,704.84, 114,115.04 and 48,700.91 is: 67,196.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,704.84 : 114,115.04 = 48,700.91 : x
  2. Step 2: Convert to fraction form
    82,704.84/114,115.04 = 48,700.91/x
  3. Step 3: Cross multiply
    82,704.84x = 114,115.04 × 48,700.91
  4. Step 4: Simplify right side
    82,704.84x = 5,557,506,517.10
  5. Step 5: Solve for x
    x = 5,557,506,517.10/82,704.84
  6. Step 6: Final answer
    x = 67,196.87

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1.5x scale

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.