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Finding the Fourth Proportional to 32,767.65, 49,146.62 and 16,123.23

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Solution

The fourth proportional to 32,767.65, 49,146.62 and 16,123.23 is: 24,182.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,767.65 : 49,146.62 = 16,123.23 : x
  2. Step 2: Convert to fraction form
    32,767.65/49,146.62 = 16,123.23/x
  3. Step 3: Cross multiply
    32,767.65x = 49,146.62 × 16,123.23
  4. Step 4: Simplify right side
    32,767.65x = 792,402,177.37
  5. Step 5: Solve for x
    x = 792,402,177.37/32,767.65
  6. Step 6: Final answer
    x = 24,182.45

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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.