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Finding the Fourth Proportional to 53,954.60, 80,931.90 and 32,959.40

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Solution

The fourth proportional to 53,954.60, 80,931.90 and 32,959.40 is: 49,439.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,954.60 : 80,931.90 = 32,959.40 : x
  2. Step 2: Convert to fraction form
    53,954.60/80,931.90 = 32,959.40/x
  3. Step 3: Cross multiply
    53,954.60x = 80,931.90 × 32,959.40
  4. Step 4: Simplify right side
    53,954.60x = 2,667,466,864.86
  5. Step 5: Solve for x
    x = 2,667,466,864.86/53,954.60
  6. Step 6: Final answer
    x = 49,439.10

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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.