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Finding the Fourth Proportional to 33,049.48, 49,560.62 and 16,403.40

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Solution

The fourth proportional to 33,049.48, 49,560.62 and 16,403.40 is: 24,598.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,049.48 : 49,560.62 = 16,403.40 : x
  2. Step 2: Convert to fraction form
    33,049.48/49,560.62 = 16,403.40/x
  3. Step 3: Cross multiply
    33,049.48x = 49,560.62 × 16,403.40
  4. Step 4: Simplify right side
    33,049.48x = 812,962,674.11
  5. Step 5: Solve for x
    x = 812,962,674.11/33,049.48
  6. Step 6: Final answer
    x = 24,598.35

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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.