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Finding the Fourth Proportional to 70,800.24, 97,707.84 and 38,968.80

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Solution

The fourth proportional to 70,800.24, 97,707.84 and 38,968.80 is: 53,778.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,800.24 : 97,707.84 = 38,968.80 : x
  2. Step 2: Convert to fraction form
    70,800.24/97,707.84 = 38,968.80/x
  3. Step 3: Cross multiply
    70,800.24x = 97,707.84 × 38,968.80
  4. Step 4: Simplify right side
    70,800.24x = 3,807,557,275.39
  5. Step 5: Solve for x
    x = 3,807,557,275.39/70,800.24
  6. Step 6: Final answer
    x = 53,778.88

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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.