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Finding the Fourth Proportional to 32,678.36, 49,007.82 and 11,897

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Solution

The fourth proportional to 32,678.36, 49,007.82 and 11,897 is: 17,841.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,678.36 : 49,007.82 = 11,897 : x
  2. Step 2: Convert to fraction form
    32,678.36/49,007.82 = 11,897/x
  3. Step 3: Cross multiply
    32,678.36x = 49,007.82 × 11,897
  4. Step 4: Simplify right side
    32,678.36x = 583,046,034.54
  5. Step 5: Solve for x
    x = 583,046,034.54/32,678.36
  6. Step 6: Final answer
    x = 17,841.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.