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Finding the Fourth Proportional to 51,877.28, 77,840.22 and 25,567.68

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Solution

The fourth proportional to 51,877.28, 77,840.22 and 25,567.68 is: 38,363.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,877.28 : 77,840.22 = 25,567.68 : x
  2. Step 2: Convert to fraction form
    51,877.28/77,840.22 = 25,567.68/x
  3. Step 3: Cross multiply
    51,877.28x = 77,840.22 × 25,567.68
  4. Step 4: Simplify right side
    51,877.28x = 1,990,193,836.09
  5. Step 5: Solve for x
    x = 1,990,193,836.09/51,877.28
  6. Step 6: Final answer
    x = 38,363.50

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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.