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Finding the Fourth Proportional to 70,157.48, 96,824 and 38,331.16

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Solution

The fourth proportional to 70,157.48, 96,824 and 38,331.16 is: 52,900.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,157.48 : 96,824 = 38,331.16 : x
  2. Step 2: Convert to fraction form
    70,157.48/96,824 = 38,331.16/x
  3. Step 3: Cross multiply
    70,157.48x = 96,824 × 38,331.16
  4. Step 4: Simplify right side
    70,157.48x = 3,711,376,235.84
  5. Step 5: Solve for x
    x = 3,711,376,235.84/70,157.48
  6. Step 6: Final answer
    x = 52,900.65

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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.