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Finding the Fourth Proportional to 75,232.25, 103,820.52 and 41,698.25

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Solution

The fourth proportional to 75,232.25, 103,820.52 and 41,698.25 is: 57,543.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,232.25 : 103,820.52 = 41,698.25 : x
  2. Step 2: Convert to fraction form
    75,232.25/103,820.52 = 41,698.25/x
  3. Step 3: Cross multiply
    75,232.25x = 103,820.52 × 41,698.25
  4. Step 4: Simplify right side
    75,232.25x = 4,329,133,998.09
  5. Step 5: Solve for x
    x = 4,329,133,998.09/75,232.25
  6. Step 6: Final answer
    x = 57,543.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.