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Finding the Fourth Proportional to 70,291.12, 97,002.96 and 38,462.80

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Solution

The fourth proportional to 70,291.12, 97,002.96 and 38,462.80 is: 53,079.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,291.12 : 97,002.96 = 38,462.80 : x
  2. Step 2: Convert to fraction form
    70,291.12/97,002.96 = 38,462.80/x
  3. Step 3: Cross multiply
    70,291.12x = 97,002.96 × 38,462.80
  4. Step 4: Simplify right side
    70,291.12x = 3,731,005,449.89
  5. Step 5: Solve for x
    x = 3,731,005,449.89/70,291.12
  6. Step 6: Final answer
    x = 53,079.33

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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.