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Finding the Fourth Proportional to 56,164.08, 77,504.40 and 31,013.04

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Solution

The fourth proportional to 56,164.08, 77,504.40 and 31,013.04 is: 42,796.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,164.08 : 77,504.40 = 31,013.04 : x
  2. Step 2: Convert to fraction form
    56,164.08/77,504.40 = 31,013.04/x
  3. Step 3: Cross multiply
    56,164.08x = 77,504.40 × 31,013.04
  4. Step 4: Simplify right side
    56,164.08x = 2,403,647,057.38
  5. Step 5: Solve for x
    x = 2,403,647,057.38/56,164.08
  6. Step 6: Final answer
    x = 42,796.87

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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.