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Finding the Fourth Proportional to 82,041.53, 123,079.70 and 25,897.86

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Solution

The fourth proportional to 82,041.53, 123,079.70 and 25,897.86 is: 38,852.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,041.53 : 123,079.70 = 25,897.86 : x
  2. Step 2: Convert to fraction form
    82,041.53/123,079.70 = 25,897.86/x
  3. Step 3: Cross multiply
    82,041.53x = 123,079.70 × 25,897.86
  4. Step 4: Simplify right side
    82,041.53x = 3,187,500,904.19
  5. Step 5: Solve for x
    x = 3,187,500,904.19/82,041.53
  6. Step 6: Final answer
    x = 38,852.29

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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.