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Finding the Fourth Proportional to 75,377.01, 113,077.80 and 25,460.10

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Solution

The fourth proportional to 75,377.01, 113,077.80 and 25,460.10 is: 38,194.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,377.01 : 113,077.80 = 25,460.10 : x
  2. Step 2: Convert to fraction form
    75,377.01/113,077.80 = 25,460.10/x
  3. Step 3: Cross multiply
    75,377.01x = 113,077.80 × 25,460.10
  4. Step 4: Simplify right side
    75,377.01x = 2,878,972,095.78
  5. Step 5: Solve for x
    x = 2,878,972,095.78/75,377.01
  6. Step 6: Final answer
    x = 38,194.30

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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.