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Finding the Fourth Proportional to 88,275, 132,412.50 and 25,945.50

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Solution

The fourth proportional to 88,275, 132,412.50 and 25,945.50 is: 38,918.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,275 : 132,412.50 = 25,945.50 : x
  2. Step 2: Convert to fraction form
    88,275/132,412.50 = 25,945.50/x
  3. Step 3: Cross multiply
    88,275x = 132,412.50 × 25,945.50
  4. Step 4: Simplify right side
    88,275x = 3,435,508,518.75
  5. Step 5: Solve for x
    x = 3,435,508,518.75/88,275
  6. Step 6: Final answer
    x = 38,918.25

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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.