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Finding the Fourth Proportional to 83,112.84, 124,595.31 and 30,510

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Solution

The fourth proportional to 83,112.84, 124,595.31 and 30,510 is: 45,737.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,112.84 : 124,595.31 = 30,510 : x
  2. Step 2: Convert to fraction form
    83,112.84/124,595.31 = 30,510/x
  3. Step 3: Cross multiply
    83,112.84x = 124,595.31 × 30,510
  4. Step 4: Simplify right side
    83,112.84x = 3,801,402,908.10
  5. Step 5: Solve for x
    x = 3,801,402,908.10/83,112.84
  6. Step 6: Final answer
    x = 45,737.85

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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.