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Finding the Fourth Proportional to 35,807.43, 49,437.03 and 24,495.78

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Solution

The fourth proportional to 35,807.43, 49,437.03 and 24,495.78 is: 33,819.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,807.43 : 49,437.03 = 24,495.78 : x
  2. Step 2: Convert to fraction form
    35,807.43/49,437.03 = 24,495.78/x
  3. Step 3: Cross multiply
    35,807.43x = 49,437.03 × 24,495.78
  4. Step 4: Simplify right side
    35,807.43x = 1,210,998,610.73
  5. Step 5: Solve for x
    x = 1,210,998,610.73/35,807.43
  6. Step 6: Final answer
    x = 33,819.76

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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.