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Finding the Fourth Proportional to 47,148.81, 70,769.70 and 34,633.71

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Solution

The fourth proportional to 47,148.81, 70,769.70 and 34,633.71 is: 51,984.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,148.81 : 70,769.70 = 34,633.71 : x
  2. Step 2: Convert to fraction form
    47,148.81/70,769.70 = 34,633.71/x
  3. Step 3: Cross multiply
    47,148.81x = 70,769.70 × 34,633.71
  4. Step 4: Simplify right side
    47,148.81x = 2,451,017,266.59
  5. Step 5: Solve for x
    x = 2,451,017,266.59/47,148.81
  6. Step 6: Final answer
    x = 51,984.71

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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.