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Finding the Fourth Proportional to 40,465.41, 55,842.78 and 23,470.38

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Solution

The fourth proportional to 40,465.41, 55,842.78 and 23,470.38 is: 32,389.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,465.41 : 55,842.78 = 23,470.38 : x
  2. Step 2: Convert to fraction form
    40,465.41/55,842.78 = 23,470.38/x
  3. Step 3: Cross multiply
    40,465.41x = 55,842.78 × 23,470.38
  4. Step 4: Simplify right side
    40,465.41x = 1,310,650,870.29
  5. Step 5: Solve for x
    x = 1,310,650,870.29/40,465.41
  6. Step 6: Final answer
    x = 32,389.41

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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.