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Finding the Fourth Proportional to 32,870, 49,294.56 and 10,678.24

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Solution

The fourth proportional to 32,870, 49,294.56 and 10,678.24 is: 16,013.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,870 : 49,294.56 = 10,678.24 : x
  2. Step 2: Convert to fraction form
    32,870/49,294.56 = 10,678.24/x
  3. Step 3: Cross multiply
    32,870x = 49,294.56 × 10,678.24
  4. Step 4: Simplify right side
    32,870x = 526,379,142.37
  5. Step 5: Solve for x
    x = 526,379,142.37/32,870
  6. Step 6: Final answer
    x = 16,013.97

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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.