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Finding the Fourth Proportional to 41,117.41, 56,742.26 and 22,254.53

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Solution

The fourth proportional to 41,117.41, 56,742.26 and 22,254.53 is: 30,711.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,117.41 : 56,742.26 = 22,254.53 : x
  2. Step 2: Convert to fraction form
    41,117.41/56,742.26 = 22,254.53/x
  3. Step 3: Cross multiply
    41,117.41x = 56,742.26 × 22,254.53
  4. Step 4: Simplify right side
    41,117.41x = 1,262,772,216.17
  5. Step 5: Solve for x
    x = 1,262,772,216.17/41,117.41
  6. Step 6: Final answer
    x = 30,711.38

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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.