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Finding the Fourth Proportional to 72,741.64, 100,375.28 and 40,909.86

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Solution

The fourth proportional to 72,741.64, 100,375.28 and 40,909.86 is: 56,451.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,741.64 : 100,375.28 = 40,909.86 : x
  2. Step 2: Convert to fraction form
    72,741.64/100,375.28 = 40,909.86/x
  3. Step 3: Cross multiply
    72,741.64x = 100,375.28 × 40,909.86
  4. Step 4: Simplify right side
    72,741.64x = 4,106,338,652.26
  5. Step 5: Solve for x
    x = 4,106,338,652.26/72,741.64
  6. Step 6: Final answer
    x = 56,451.00

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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.