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Finding the Fourth Proportional to 83,668.86, 125,492.22 and 31,071.24

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Solution

The fourth proportional to 83,668.86, 125,492.22 and 31,071.24 is: 46,602.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,668.86 : 125,492.22 = 31,071.24 : x
  2. Step 2: Convert to fraction form
    83,668.86/125,492.22 = 31,071.24/x
  3. Step 3: Cross multiply
    83,668.86x = 125,492.22 × 31,071.24
  4. Step 4: Simplify right side
    83,668.86x = 3,899,198,885.75
  5. Step 5: Solve for x
    x = 3,899,198,885.75/83,668.86
  6. Step 6: Final answer
    x = 46,602.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.