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Finding the Fourth Proportional to 32,897.90, 49,314.45 and 16,244.30

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Solution

The fourth proportional to 32,897.90, 49,314.45 and 16,244.30 is: 24,350.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,897.90 : 49,314.45 = 16,244.30 : x
  2. Step 2: Convert to fraction form
    32,897.90/49,314.45 = 16,244.30/x
  3. Step 3: Cross multiply
    32,897.90x = 49,314.45 × 16,244.30
  4. Step 4: Simplify right side
    32,897.90x = 801,078,720.14
  5. Step 5: Solve for x
    x = 801,078,720.14/32,897.90
  6. Step 6: Final answer
    x = 24,350.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.