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Finding the Fourth Proportional to 70,597.14, 97,425.25 and 38,769

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Solution

The fourth proportional to 70,597.14, 97,425.25 and 38,769 is: 53,501.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,597.14 : 97,425.25 = 38,769 : x
  2. Step 2: Convert to fraction form
    70,597.14/97,425.25 = 38,769/x
  3. Step 3: Cross multiply
    70,597.14x = 97,425.25 × 38,769
  4. Step 4: Simplify right side
    70,597.14x = 3,777,079,323.41
  5. Step 5: Solve for x
    x = 3,777,079,323.41/70,597.14
  6. Step 6: Final answer
    x = 53,501.87

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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.