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Finding the Fourth Proportional to 40,465.41, 55,841.64 and 22,559.96

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Solution

The fourth proportional to 40,465.41, 55,841.64 and 22,559.96 is: 31,132.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,465.41 : 55,841.64 = 22,559.96 : x
  2. Step 2: Convert to fraction form
    40,465.41/55,841.64 = 22,559.96/x
  3. Step 3: Cross multiply
    40,465.41x = 55,841.64 × 22,559.96
  4. Step 4: Simplify right side
    40,465.41x = 1,259,784,885.53
  5. Step 5: Solve for x
    x = 1,259,784,885.53/40,465.41
  6. Step 6: Final answer
    x = 31,132.39

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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.