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Finding the Fourth Proportional to 82,045.76, 123,103.20 and 48,829.76

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Solution

The fourth proportional to 82,045.76, 123,103.20 and 48,829.76 is: 73,265.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,045.76 : 123,103.20 = 48,829.76 : x
  2. Step 2: Convert to fraction form
    82,045.76/123,103.20 = 48,829.76/x
  3. Step 3: Cross multiply
    82,045.76x = 123,103.20 × 48,829.76
  4. Step 4: Simplify right side
    82,045.76x = 6,011,099,711.23
  5. Step 5: Solve for x
    x = 6,011,099,711.23/82,045.76
  6. Step 6: Final answer
    x = 73,265.21

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1.5x scale

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.