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Finding the Fourth Proportional to 32,642.25, 45,046.59 and 17,738.25

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Solution

The fourth proportional to 32,642.25, 45,046.59 and 17,738.25 is: 24,478.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,642.25 : 45,046.59 = 17,738.25 : x
  2. Step 2: Convert to fraction form
    32,642.25/45,046.59 = 17,738.25/x
  3. Step 3: Cross multiply
    32,642.25x = 45,046.59 × 17,738.25
  4. Step 4: Simplify right side
    32,642.25x = 799,047,675.07
  5. Step 5: Solve for x
    x = 799,047,675.07/32,642.25
  6. Step 6: Final answer
    x = 24,478.94

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