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Finding the Fourth Proportional to 125,723, 188,595.84 and 32,229.56

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Solution

The fourth proportional to 125,723, 188,595.84 and 32,229.56 is: 48,347.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,723 : 188,595.84 = 32,229.56 : x
  2. Step 2: Convert to fraction form
    125,723/188,595.84 = 32,229.56/x
  3. Step 3: Cross multiply
    125,723x = 188,595.84 × 32,229.56
  4. Step 4: Simplify right side
    125,723x = 6,078,360,941.03
  5. Step 5: Solve for x
    x = 6,078,360,941.03/125,723
  6. Step 6: Final answer
    x = 48,347.25

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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.