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Finding the Fourth Proportional to 54,455.69, 75,135.65 and 31,781.72

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Solution

The fourth proportional to 54,455.69, 75,135.65 and 31,781.72 is: 43,851.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,455.69 : 75,135.65 = 31,781.72 : x
  2. Step 2: Convert to fraction form
    54,455.69/75,135.65 = 31,781.72/x
  3. Step 3: Cross multiply
    54,455.69x = 75,135.65 × 31,781.72
  4. Step 4: Simplify right side
    54,455.69x = 2,387,939,975.38
  5. Step 5: Solve for x
    x = 2,387,939,975.38/54,455.69
  6. Step 6: Final answer
    x = 43,851.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.