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Finding the Fourth Proportional to 82,997.84, 124,574.52 and 38,655.20

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Solution

The fourth proportional to 82,997.84, 124,574.52 and 38,655.20 is: 58,019.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,997.84 : 124,574.52 = 38,655.20 : x
  2. Step 2: Convert to fraction form
    82,997.84/124,574.52 = 38,655.20/x
  3. Step 3: Cross multiply
    82,997.84x = 124,574.52 × 38,655.20
  4. Step 4: Simplify right side
    82,997.84x = 4,815,452,985.50
  5. Step 5: Solve for x
    x = 4,815,452,985.50/82,997.84
  6. Step 6: Final answer
    x = 58,019.02

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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.