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Finding the Fourth Proportional to 75,672, 113,437.44 and 25,717.95

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Solution

The fourth proportional to 75,672, 113,437.44 and 25,717.95 is: 38,552.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,672 : 113,437.44 = 25,717.95 : x
  2. Step 2: Convert to fraction form
    75,672/113,437.44 = 25,717.95/x
  3. Step 3: Cross multiply
    75,672x = 113,437.44 × 25,717.95
  4. Step 4: Simplify right side
    75,672x = 2,917,378,410.05
  5. Step 5: Solve for x
    x = 2,917,378,410.05/75,672
  6. Step 6: Final answer
    x = 38,552.94

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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.