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Finding the Fourth Proportional to 82,774.16, 124,139.12 and 36,016

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Solution

The fourth proportional to 82,774.16, 124,139.12 and 36,016 is: 54,014.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,774.16 : 124,139.12 = 36,016 : x
  2. Step 2: Convert to fraction form
    82,774.16/124,139.12 = 36,016/x
  3. Step 3: Cross multiply
    82,774.16x = 124,139.12 × 36,016
  4. Step 4: Simplify right side
    82,774.16x = 4,470,994,545.92
  5. Step 5: Solve for x
    x = 4,470,994,545.92/82,774.16
  6. Step 6: Final answer
    x = 54,014.38

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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.