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Finding the Fourth Proportional to 70,161.71, 105,169.06 and 32,690.88

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Solution

The fourth proportional to 70,161.71, 105,169.06 and 32,690.88 is: 49,002.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,161.71 : 105,169.06 = 32,690.88 : x
  2. Step 2: Convert to fraction form
    70,161.71/105,169.06 = 32,690.88/x
  3. Step 3: Cross multiply
    70,161.71x = 105,169.06 × 32,690.88
  4. Step 4: Simplify right side
    70,161.71x = 3,438,068,956.72
  5. Step 5: Solve for x
    x = 3,438,068,956.72/70,161.71
  6. Step 6: Final answer
    x = 49,002.07

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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.