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Finding the Fourth Proportional to 45,281.76, 67,834.28 and 29,652

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Solution

The fourth proportional to 45,281.76, 67,834.28 and 29,652 is: 44,420.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,281.76 : 67,834.28 = 29,652 : x
  2. Step 2: Convert to fraction form
    45,281.76/67,834.28 = 29,652/x
  3. Step 3: Cross multiply
    45,281.76x = 67,834.28 × 29,652
  4. Step 4: Simplify right side
    45,281.76x = 2,011,422,144.69
  5. Step 5: Solve for x
    x = 2,011,422,144.69/45,281.76
  6. Step 6: Final answer
    x = 44,420.14

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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.