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Finding the Fourth Proportional to 32,941.90, 45,459.49 and 17,834.16

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Solution

The fourth proportional to 32,941.90, 45,459.49 and 17,834.16 is: 24,610.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,941.90 : 45,459.49 = 17,834.16 : x
  2. Step 2: Convert to fraction form
    32,941.90/45,459.49 = 17,834.16/x
  3. Step 3: Cross multiply
    32,941.90x = 45,459.49 × 17,834.16
  4. Step 4: Simplify right side
    32,941.90x = 810,731,501.71
  5. Step 5: Solve for x
    x = 810,731,501.71/32,941.90
  6. Step 6: Final answer
    x = 24,610.96

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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.