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Finding the Fourth Proportional to 32,984.66, 49,482.66 and 10,791.74

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Solution

The fourth proportional to 32,984.66, 49,482.66 and 10,791.74 is: 16,189.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,984.66 : 49,482.66 = 10,791.74 : x
  2. Step 2: Convert to fraction form
    32,984.66/49,482.66 = 10,791.74/x
  3. Step 3: Cross multiply
    32,984.66x = 49,482.66 × 10,791.74
  4. Step 4: Simplify right side
    32,984.66x = 534,004,001.23
  5. Step 5: Solve for x
    x = 534,004,001.23/32,984.66
  6. Step 6: Final answer
    x = 16,189.47

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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.