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Finding the Fourth Proportional to 83,167.91, 114,771.74 and 44,927.45

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Solution

The fourth proportional to 83,167.91, 114,771.74 and 44,927.45 is: 61,999.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,167.91 : 114,771.74 = 44,927.45 : x
  2. Step 2: Convert to fraction form
    83,167.91/114,771.74 = 44,927.45/x
  3. Step 3: Cross multiply
    83,167.91x = 114,771.74 × 44,927.45
  4. Step 4: Simplify right side
    83,167.91x = 5,156,400,811.77
  5. Step 5: Solve for x
    x = 5,156,400,811.77/83,167.91
  6. Step 6: Final answer
    x = 61,999.89

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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.