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Finding the Fourth Proportional to 32,960.34, 49,442.82 and 16,315.91

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Solution

The fourth proportional to 32,960.34, 49,442.82 and 16,315.91 is: 24,475.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,960.34 : 49,442.82 = 16,315.91 : x
  2. Step 2: Convert to fraction form
    32,960.34/49,442.82 = 16,315.91/x
  3. Step 3: Cross multiply
    32,960.34x = 49,442.82 × 16,315.91
  4. Step 4: Simplify right side
    32,960.34x = 806,704,292.87
  5. Step 5: Solve for x
    x = 806,704,292.87/32,960.34
  6. Step 6: Final answer
    x = 24,475.00

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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.