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Finding the Fourth Proportional to 41,246.48, 56,885 and 27,800.06

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Solution

The fourth proportional to 41,246.48, 56,885 and 27,800.06 is: 38,340.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,246.48 : 56,885 = 27,800.06 : x
  2. Step 2: Convert to fraction form
    41,246.48/56,885 = 27,800.06/x
  3. Step 3: Cross multiply
    41,246.48x = 56,885 × 27,800.06
  4. Step 4: Simplify right side
    41,246.48x = 1,581,406,413.10
  5. Step 5: Solve for x
    x = 1,581,406,413.10/41,246.48
  6. Step 6: Final answer
    x = 38,340.40

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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.