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Finding the Fourth Proportional to 32,597, 44,983.90 and 17,693

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Solution

The fourth proportional to 32,597, 44,983.90 and 17,693 is: 24,416.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,597 : 44,983.90 = 17,693 : x
  2. Step 2: Convert to fraction form
    32,597/44,983.90 = 17,693/x
  3. Step 3: Cross multiply
    32,597x = 44,983.90 × 17,693
  4. Step 4: Simplify right side
    32,597x = 795,900,142.70
  5. Step 5: Solve for x
    x = 795,900,142.70/32,597
  6. Step 6: Final answer
    x = 24,416.36

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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.