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Finding the Fourth Proportional to 41,288.93, 56,978.40 and 22,426.19

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Solution

The fourth proportional to 41,288.93, 56,978.40 and 22,426.19 is: 30,947.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,288.93 : 56,978.40 = 22,426.19 : x
  2. Step 2: Convert to fraction form
    41,288.93/56,978.40 = 22,426.19/x
  3. Step 3: Cross multiply
    41,288.93x = 56,978.40 × 22,426.19
  4. Step 4: Simplify right side
    41,288.93x = 1,277,808,139.40
  5. Step 5: Solve for x
    x = 1,277,808,139.40/41,288.93
  6. Step 6: Final answer
    x = 30,947.96

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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.