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Finding the Fourth Proportional to 40,894.40, 61,341.60 and 24,305.60

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Solution

The fourth proportional to 40,894.40, 61,341.60 and 24,305.60 is: 36,458.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,894.40 : 61,341.60 = 24,305.60 : x
  2. Step 2: Convert to fraction form
    40,894.40/61,341.60 = 24,305.60/x
  3. Step 3: Cross multiply
    40,894.40x = 61,341.60 × 24,305.60
  4. Step 4: Simplify right side
    40,894.40x = 1,490,944,392.96
  5. Step 5: Solve for x
    x = 1,490,944,392.96/40,894.40
  6. Step 6: Final answer
    x = 36,458.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.