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Finding the Fourth Proportional to 82,578.32, 113,938.56 and 48,588.29

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Solution

The fourth proportional to 82,578.32, 113,938.56 and 48,588.29 is: 67,040.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,578.32 : 113,938.56 = 48,588.29 : x
  2. Step 2: Convert to fraction form
    82,578.32/113,938.56 = 48,588.29/x
  3. Step 3: Cross multiply
    82,578.32x = 113,938.56 × 48,588.29
  4. Step 4: Simplify right side
    82,578.32x = 5,536,079,795.46
  5. Step 5: Solve for x
    x = 5,536,079,795.46/82,578.32
  6. Step 6: Final answer
    x = 67,040.35

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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.