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Finding the Fourth Proportional to 35,928.91, 49,222.84 and 34,582.14

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Solution

The fourth proportional to 35,928.91, 49,222.84 and 34,582.14 is: 47,377.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,928.91 : 49,222.84 = 34,582.14 : x
  2. Step 2: Convert to fraction form
    35,928.91/49,222.84 = 34,582.14/x
  3. Step 3: Cross multiply
    35,928.91x = 49,222.84 × 34,582.14
  4. Step 4: Simplify right side
    35,928.91x = 1,702,231,476.02
  5. Step 5: Solve for x
    x = 1,702,231,476.02/35,928.91
  6. Step 6: Final answer
    x = 47,377.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.