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Finding the Fourth Proportional to 77,101.72, 106,354.38 and 48,758.20

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Solution

The fourth proportional to 77,101.72, 106,354.38 and 48,758.20 is: 67,257.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,101.72 : 106,354.38 = 48,758.20 : x
  2. Step 2: Convert to fraction form
    77,101.72/106,354.38 = 48,758.20/x
  3. Step 3: Cross multiply
    77,101.72x = 106,354.38 × 48,758.20
  4. Step 4: Simplify right side
    77,101.72x = 5,185,648,130.92
  5. Step 5: Solve for x
    x = 5,185,648,130.92/77,101.72
  6. Step 6: Final answer
    x = 67,257.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.