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Finding the Fourth Proportional to 82,104.48, 113,298.48 and 48,564

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Solution

The fourth proportional to 82,104.48, 113,298.48 and 48,564 is: 67,014.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,104.48 : 113,298.48 = 48,564 : x
  2. Step 2: Convert to fraction form
    82,104.48/113,298.48 = 48,564/x
  3. Step 3: Cross multiply
    82,104.48x = 113,298.48 × 48,564
  4. Step 4: Simplify right side
    82,104.48x = 5,502,227,382.72
  5. Step 5: Solve for x
    x = 5,502,227,382.72/82,104.48
  6. Step 6: Final answer
    x = 67,014.95

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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.