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Finding the Fourth Proportional to 72,948.16, 100,668.44 and 39,414.16

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Solution

The fourth proportional to 72,948.16, 100,668.44 and 39,414.16 is: 54,391.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,948.16 : 100,668.44 = 39,414.16 : x
  2. Step 2: Convert to fraction form
    72,948.16/100,668.44 = 39,414.16/x
  3. Step 3: Cross multiply
    72,948.16x = 100,668.44 × 39,414.16
  4. Step 4: Simplify right side
    72,948.16x = 3,967,762,001.11
  5. Step 5: Solve for x
    x = 3,967,762,001.11/72,948.16
  6. Step 6: Final answer
    x = 54,391.53

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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.