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Finding the Fourth Proportional to 83,056.84, 114,578.57 and 54,363.87

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Solution

The fourth proportional to 83,056.84, 114,578.57 and 54,363.87 is: 74,996.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,056.84 : 114,578.57 = 54,363.87 : x
  2. Step 2: Convert to fraction form
    83,056.84/114,578.57 = 54,363.87/x
  3. Step 3: Cross multiply
    83,056.84x = 114,578.57 × 54,363.87
  4. Step 4: Simplify right side
    83,056.84x = 6,228,934,620.18
  5. Step 5: Solve for x
    x = 6,228,934,620.18/83,056.84
  6. Step 6: Final answer
    x = 74,996.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.