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Finding the Fourth Proportional to 70,301.67, 97,016.31 and 38,470.57

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Solution

The fourth proportional to 70,301.67, 97,016.31 and 38,470.57 is: 53,089.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,301.67 : 97,016.31 = 38,470.57 : x
  2. Step 2: Convert to fraction form
    70,301.67/97,016.31 = 38,470.57/x
  3. Step 3: Cross multiply
    70,301.67x = 97,016.31 × 38,470.57
  4. Step 4: Simplify right side
    70,301.67x = 3,732,272,502.46
  5. Step 5: Solve for x
    x = 3,732,272,502.46/70,301.67
  6. Step 6: Final answer
    x = 53,089.39

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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.