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Finding the Fourth Proportional to 83,312, 114,972 and 45,586.88

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Solution

The fourth proportional to 83,312, 114,972 and 45,586.88 is: 62,910.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,312 : 114,972 = 45,586.88 : x
  2. Step 2: Convert to fraction form
    83,312/114,972 = 45,586.88/x
  3. Step 3: Cross multiply
    83,312x = 114,972 × 45,586.88
  4. Step 4: Simplify right side
    83,312x = 5,241,214,767.36
  5. Step 5: Solve for x
    x = 5,241,214,767.36/83,312
  6. Step 6: Final answer
    x = 62,910.68

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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.