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Finding the Fourth Proportional to 82,448.28, 113,708.46 and 63,374.28

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Solution

The fourth proportional to 82,448.28, 113,708.46 and 63,374.28 is: 87,402.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,448.28 : 113,708.46 = 63,374.28 : x
  2. Step 2: Convert to fraction form
    82,448.28/113,708.46 = 63,374.28/x
  3. Step 3: Cross multiply
    82,448.28x = 113,708.46 × 63,374.28
  4. Step 4: Simplify right side
    82,448.28x = 7,206,191,782.41
  5. Step 5: Solve for x
    x = 7,206,191,782.41/82,448.28
  6. Step 6: Final answer
    x = 87,402.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.