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Finding the Fourth Proportional to 35,424.30, 53,078.13 and 24,751.74

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Solution

The fourth proportional to 35,424.30, 53,078.13 and 24,751.74 is: 37,086.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,424.30 : 53,078.13 = 24,751.74 : x
  2. Step 2: Convert to fraction form
    35,424.30/53,078.13 = 24,751.74/x
  3. Step 3: Cross multiply
    35,424.30x = 53,078.13 × 24,751.74
  4. Step 4: Simplify right side
    35,424.30x = 1,313,775,949.69
  5. Step 5: Solve for x
    x = 1,313,775,949.69/35,424.30
  6. Step 6: Final answer
    x = 37,086.86

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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.