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Finding the Fourth Proportional to 40,209.40, 55,543.08 and 30,894.40

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Solution

The fourth proportional to 40,209.40, 55,543.08 and 30,894.40 is: 42,675.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,209.40 : 55,543.08 = 30,894.40 : x
  2. Step 2: Convert to fraction form
    40,209.40/55,543.08 = 30,894.40/x
  3. Step 3: Cross multiply
    40,209.40x = 55,543.08 × 30,894.40
  4. Step 4: Simplify right side
    40,209.40x = 1,715,970,130.75
  5. Step 5: Solve for x
    x = 1,715,970,130.75/40,209.40
  6. Step 6: Final answer
    x = 42,675.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.