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Finding the Fourth Proportional to 47,098.38, 64,998.95 and 25,877.91

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Solution

The fourth proportional to 47,098.38, 64,998.95 and 25,877.91 is: 35,713.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,098.38 : 64,998.95 = 25,877.91 : x
  2. Step 2: Convert to fraction form
    47,098.38/64,998.95 = 25,877.91/x
  3. Step 3: Cross multiply
    47,098.38x = 64,998.95 × 25,877.91
  4. Step 4: Simplify right side
    47,098.38x = 1,682,036,848.80
  5. Step 5: Solve for x
    x = 1,682,036,848.80/47,098.38
  6. Step 6: Final answer
    x = 35,713.26

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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.