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Finding the Fourth Proportional to 35,876.10, 53,811.44 and 15,891.78

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Solution

The fourth proportional to 35,876.10, 53,811.44 and 15,891.78 is: 23,836.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,876.10 : 53,811.44 = 15,891.78 : x
  2. Step 2: Convert to fraction form
    35,876.10/53,811.44 = 15,891.78/x
  3. Step 3: Cross multiply
    35,876.10x = 53,811.44 × 15,891.78
  4. Step 4: Simplify right side
    35,876.10x = 855,159,565.96
  5. Step 5: Solve for x
    x = 855,159,565.96/35,876.10
  6. Step 6: Final answer
    x = 23,836.47

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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.