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Finding the Fourth Proportional to 32,642.68, 45,046.74 and 17,738.68

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Solution

The fourth proportional to 32,642.68, 45,046.74 and 17,738.68 is: 24,479.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,642.68 : 45,046.74 = 17,738.68 : x
  2. Step 2: Convert to fraction form
    32,642.68/45,046.74 = 17,738.68/x
  3. Step 3: Cross multiply
    32,642.68x = 45,046.74 × 17,738.68
  4. Step 4: Simplify right side
    32,642.68x = 799,069,705.90
  5. Step 5: Solve for x
    x = 799,069,705.90/32,642.68
  6. Step 6: Final answer
    x = 24,479.29

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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.