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Finding the Fourth Proportional to 75,242.34, 112,863.42 and 22,651.74

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Solution

The fourth proportional to 75,242.34, 112,863.42 and 22,651.74 is: 33,977.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,242.34 : 112,863.42 = 22,651.74 : x
  2. Step 2: Convert to fraction form
    75,242.34/112,863.42 = 22,651.74/x
  3. Step 3: Cross multiply
    75,242.34x = 112,863.42 × 22,651.74
  4. Step 4: Simplify right side
    75,242.34x = 2,556,552,845.35
  5. Step 5: Solve for x
    x = 2,556,552,845.35/75,242.34
  6. Step 6: Final answer
    x = 33,977.58

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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.