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Finding the Fourth Proportional to 74,049.86, 110,974.14 and 31,319.76

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Solution

The fourth proportional to 74,049.86, 110,974.14 and 31,319.76 is: 46,937.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,049.86 : 110,974.14 = 31,319.76 : x
  2. Step 2: Convert to fraction form
    74,049.86/110,974.14 = 31,319.76/x
  3. Step 3: Cross multiply
    74,049.86x = 110,974.14 × 31,319.76
  4. Step 4: Simplify right side
    74,049.86x = 3,475,683,431.01
  5. Step 5: Solve for x
    x = 3,475,683,431.01/74,049.86
  6. Step 6: Final answer
    x = 46,937.07

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1.5x scale

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.