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Finding the Fourth Proportional to 40,917, 56,465.52 and 24,150

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Solution

The fourth proportional to 40,917, 56,465.52 and 24,150 is: 33,327.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,917 : 56,465.52 = 24,150 : x
  2. Step 2: Convert to fraction form
    40,917/56,465.52 = 24,150/x
  3. Step 3: Cross multiply
    40,917x = 56,465.52 × 24,150
  4. Step 4: Simplify right side
    40,917x = 1,363,642,308
  5. Step 5: Solve for x
    x = 1,363,642,308/40,917
  6. Step 6: Final answer
    x = 33,327.04

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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.