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Finding the Fourth Proportional to 83,312.70, 114,971.22 and 45,586.86

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Solution

The fourth proportional to 83,312.70, 114,971.22 and 45,586.86 is: 62,909.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,312.70 : 114,971.22 = 45,586.86 : x
  2. Step 2: Convert to fraction form
    83,312.70/114,971.22 = 45,586.86/x
  3. Step 3: Cross multiply
    83,312.70x = 114,971.22 × 45,586.86
  4. Step 4: Simplify right side
    83,312.70x = 5,241,176,910.17
  5. Step 5: Solve for x
    x = 5,241,176,910.17/83,312.70
  6. Step 6: Final answer
    x = 62,909.70

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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.