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Finding the Fourth Proportional to 32,872.40, 49,315.80 and 16,240.40

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Solution

The fourth proportional to 32,872.40, 49,315.80 and 16,240.40 is: 24,364.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,872.40 : 49,315.80 = 16,240.40 : x
  2. Step 2: Convert to fraction form
    32,872.40/49,315.80 = 16,240.40/x
  3. Step 3: Cross multiply
    32,872.40x = 49,315.80 × 16,240.40
  4. Step 4: Simplify right side
    32,872.40x = 800,908,318.32
  5. Step 5: Solve for x
    x = 800,908,318.32/32,872.40
  6. Step 6: Final answer
    x = 24,364.16

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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.