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Finding the Fourth Proportional to 70,285.38, 96,999.09 and 40,071.42

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Solution

The fourth proportional to 70,285.38, 96,999.09 and 40,071.42 is: 55,301.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,285.38 : 96,999.09 = 40,071.42 : x
  2. Step 2: Convert to fraction form
    70,285.38/96,999.09 = 40,071.42/x
  3. Step 3: Cross multiply
    70,285.38x = 96,999.09 × 40,071.42
  4. Step 4: Simplify right side
    70,285.38x = 3,886,891,275.01
  5. Step 5: Solve for x
    x = 3,886,891,275.01/70,285.38
  6. Step 6: Final answer
    x = 55,301.56

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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.