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Finding the Fourth Proportional to 49,718.40, 74,462.40 and 34,051.20

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Solution

The fourth proportional to 49,718.40, 74,462.40 and 34,051.20 is: 50,997.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,718.40 : 74,462.40 = 34,051.20 : x
  2. Step 2: Convert to fraction form
    49,718.40/74,462.40 = 34,051.20/x
  3. Step 3: Cross multiply
    49,718.40x = 74,462.40 × 34,051.20
  4. Step 4: Simplify right side
    49,718.40x = 2,535,534,074.88
  5. Step 5: Solve for x
    x = 2,535,534,074.88/49,718.40
  6. Step 6: Final answer
    x = 50,997.90

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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.