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Finding the Fourth Proportional to 40,769.26, 56,209.50 and 26,403.71

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Solution

The fourth proportional to 40,769.26, 56,209.50 and 26,403.71 is: 36,403.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,769.26 : 56,209.50 = 26,403.71 : x
  2. Step 2: Convert to fraction form
    40,769.26/56,209.50 = 26,403.71/x
  3. Step 3: Cross multiply
    40,769.26x = 56,209.50 × 26,403.71
  4. Step 4: Simplify right side
    40,769.26x = 1,484,139,337.25
  5. Step 5: Solve for x
    x = 1,484,139,337.25/40,769.26
  6. Step 6: Final answer
    x = 36,403.39

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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.