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Finding the Fourth Proportional to 82,811.70, 124,219.58 and 30,221.17

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Solution

The fourth proportional to 82,811.70, 124,219.58 and 30,221.17 is: 45,332.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,811.70 : 124,219.58 = 30,221.17 : x
  2. Step 2: Convert to fraction form
    82,811.70/124,219.58 = 30,221.17/x
  3. Step 3: Cross multiply
    82,811.70x = 124,219.58 × 30,221.17
  4. Step 4: Simplify right side
    82,811.70x = 3,754,060,582.85
  5. Step 5: Solve for x
    x = 3,754,060,582.85/82,811.70
  6. Step 6: Final answer
    x = 45,332.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.