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Finding the Fourth Proportional to 32,842.50, 45,322.65 and 17,938.50

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Solution

The fourth proportional to 32,842.50, 45,322.65 and 17,938.50 is: 24,755.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,842.50 : 45,322.65 = 17,938.50 : x
  2. Step 2: Convert to fraction form
    32,842.50/45,322.65 = 17,938.50/x
  3. Step 3: Cross multiply
    32,842.50x = 45,322.65 × 17,938.50
  4. Step 4: Simplify right side
    32,842.50x = 813,020,357.03
  5. Step 5: Solve for x
    x = 813,020,357.03/32,842.50
  6. Step 6: Final answer
    x = 24,755.13

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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.