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Finding the Fourth Proportional to 32,992.78, 49,482.33 and 11,648.38

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Solution

The fourth proportional to 32,992.78, 49,482.33 and 11,648.38 is: 17,470.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,992.78 : 49,482.33 = 11,648.38 : x
  2. Step 2: Convert to fraction form
    32,992.78/49,482.33 = 11,648.38/x
  3. Step 3: Cross multiply
    32,992.78x = 49,482.33 × 11,648.38
  4. Step 4: Simplify right side
    32,992.78x = 576,388,983.13
  5. Step 5: Solve for x
    x = 576,388,983.13/32,992.78
  6. Step 6: Final answer
    x = 17,470.16

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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.