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Finding the Fourth Proportional to 83,143.84, 114,734.19 and 47,333.74

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Solution

The fourth proportional to 83,143.84, 114,734.19 and 47,333.74 is: 65,318.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,143.84 : 114,734.19 = 47,333.74 : x
  2. Step 2: Convert to fraction form
    83,143.84/114,734.19 = 47,333.74/x
  3. Step 3: Cross multiply
    83,143.84x = 114,734.19 × 47,333.74
  4. Step 4: Simplify right side
    83,143.84x = 5,430,798,318.57
  5. Step 5: Solve for x
    x = 5,430,798,318.57/83,143.84
  6. Step 6: Final answer
    x = 65,318.11

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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.