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Finding the Fourth Proportional to 83,060.46, 114,624.63 and 45,333.90

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Solution

The fourth proportional to 83,060.46, 114,624.63 and 45,333.90 is: 62,561.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,060.46 : 114,624.63 = 45,333.90 : x
  2. Step 2: Convert to fraction form
    83,060.46/114,624.63 = 45,333.90/x
  3. Step 3: Cross multiply
    83,060.46x = 114,624.63 × 45,333.90
  4. Step 4: Simplify right side
    83,060.46x = 5,196,381,513.96
  5. Step 5: Solve for x
    x = 5,196,381,513.96/83,060.46
  6. Step 6: Final answer
    x = 62,561.43

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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.