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Finding the Fourth Proportional to 78,502.78, 108,331.45 and 44,514.37

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Solution

The fourth proportional to 78,502.78, 108,331.45 and 44,514.37 is: 61,428.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,502.78 : 108,331.45 = 44,514.37 : x
  2. Step 2: Convert to fraction form
    78,502.78/108,331.45 = 44,514.37/x
  3. Step 3: Cross multiply
    78,502.78x = 108,331.45 × 44,514.37
  4. Step 4: Simplify right side
    78,502.78x = 4,822,306,247.94
  5. Step 5: Solve for x
    x = 4,822,306,247.94/78,502.78
  6. Step 6: Final answer
    x = 61,428.48

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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.