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Finding the Fourth Proportional to 75,959.92, 113,952.80 and 23,368.24

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Solution

The fourth proportional to 75,959.92, 113,952.80 and 23,368.24 is: 35,056.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,959.92 : 113,952.80 = 23,368.24 : x
  2. Step 2: Convert to fraction form
    75,959.92/113,952.80 = 23,368.24/x
  3. Step 3: Cross multiply
    75,959.92x = 113,952.80 × 23,368.24
  4. Step 4: Simplify right side
    75,959.92x = 2,662,876,379.07
  5. Step 5: Solve for x
    x = 2,662,876,379.07/75,959.92
  6. Step 6: Final answer
    x = 35,056.33

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1.5x scale

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.