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Finding the Fourth Proportional to 49,425.60, 74,138.40 and 32,894.40

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Solution

The fourth proportional to 49,425.60, 74,138.40 and 32,894.40 is: 49,341.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,425.60 : 74,138.40 = 32,894.40 : x
  2. Step 2: Convert to fraction form
    49,425.60/74,138.40 = 32,894.40/x
  3. Step 3: Cross multiply
    49,425.60x = 74,138.40 × 32,894.40
  4. Step 4: Simplify right side
    49,425.60x = 2,438,738,184.96
  5. Step 5: Solve for x
    x = 2,438,738,184.96/49,425.60
  6. Step 6: Final answer
    x = 49,341.60

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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.