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Finding the Fourth Proportional to 70,301.31, 97,015.80 and 38,470.20

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Solution

The fourth proportional to 70,301.31, 97,015.80 and 38,470.20 is: 53,088.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,301.31 : 97,015.80 = 38,470.20 : x
  2. Step 2: Convert to fraction form
    70,301.31/97,015.80 = 38,470.20/x
  3. Step 3: Cross multiply
    70,301.31x = 97,015.80 × 38,470.20
  4. Step 4: Simplify right side
    70,301.31x = 3,732,217,229.16
  5. Step 5: Solve for x
    x = 3,732,217,229.16/70,301.31
  6. Step 6: Final answer
    x = 53,088.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.