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Finding the Fourth Proportional to 40,643.40, 60,867.90 and 32,867.40

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Solution

The fourth proportional to 40,643.40, 60,867.90 and 32,867.40 is: 49,222.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,643.40 : 60,867.90 = 32,867.40 : x
  2. Step 2: Convert to fraction form
    40,643.40/60,867.90 = 32,867.40/x
  3. Step 3: Cross multiply
    40,643.40x = 60,867.90 × 32,867.40
  4. Step 4: Simplify right side
    40,643.40x = 2,000,569,616.46
  5. Step 5: Solve for x
    x = 2,000,569,616.46/40,643.40
  6. Step 6: Final answer
    x = 49,222.50

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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.