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Finding the Fourth Proportional to 75,342, 113,009.34 and 27,966.32

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Solution

The fourth proportional to 75,342, 113,009.34 and 27,966.32 is: 41,948.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,342 : 113,009.34 = 27,966.32 : x
  2. Step 2: Convert to fraction form
    75,342/113,009.34 = 27,966.32/x
  3. Step 3: Cross multiply
    75,342x = 113,009.34 × 27,966.32
  4. Step 4: Simplify right side
    75,342x = 3,160,455,365.43
  5. Step 5: Solve for x
    x = 3,160,455,365.43/75,342
  6. Step 6: Final answer
    x = 41,948.12

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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.