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Finding the Fourth Proportional to 75,250.52, 112,878.16 and 27,877.47

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Solution

The fourth proportional to 75,250.52, 112,878.16 and 27,877.47 is: 41,817.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,250.52 : 112,878.16 = 27,877.47 : x
  2. Step 2: Convert to fraction form
    75,250.52/112,878.16 = 27,877.47/x
  3. Step 3: Cross multiply
    75,250.52x = 112,878.16 × 27,877.47
  4. Step 4: Simplify right side
    75,250.52x = 3,146,757,026.07
  5. Step 5: Solve for x
    x = 3,146,757,026.07/75,250.52
  6. Step 6: Final answer
    x = 41,817.08

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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.