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Finding the Fourth Proportional to 32,647.50, 45,053.58 and 17,743.50

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Solution

The fourth proportional to 32,647.50, 45,053.58 and 17,743.50 is: 24,486.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,647.50 : 45,053.58 = 17,743.50 : x
  2. Step 2: Convert to fraction form
    32,647.50/45,053.58 = 17,743.50/x
  3. Step 3: Cross multiply
    32,647.50x = 45,053.58 × 17,743.50
  4. Step 4: Simplify right side
    32,647.50x = 799,408,196.73
  5. Step 5: Solve for x
    x = 799,408,196.73/32,647.50
  6. Step 6: Final answer
    x = 24,486.05

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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.