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Finding the Fourth Proportional to 70,786.90, 106,180.24 and 48,532.81

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Solution

The fourth proportional to 70,786.90, 106,180.24 and 48,532.81 is: 72,799.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,786.90 : 106,180.24 = 48,532.81 : x
  2. Step 2: Convert to fraction form
    70,786.90/106,180.24 = 48,532.81/x
  3. Step 3: Cross multiply
    70,786.90x = 106,180.24 × 48,532.81
  4. Step 4: Simplify right side
    70,786.90x = 5,153,225,752.11
  5. Step 5: Solve for x
    x = 5,153,225,752.11/70,786.90
  6. Step 6: Final answer
    x = 72,799.14

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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.