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Finding the Fourth Proportional to 56,494.22, 77,961.80 and 31,001.01

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Solution

The fourth proportional to 56,494.22, 77,961.80 and 31,001.01 is: 42,781.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,494.22 : 77,961.80 = 31,001.01 : x
  2. Step 2: Convert to fraction form
    56,494.22/77,961.80 = 31,001.01/x
  3. Step 3: Cross multiply
    56,494.22x = 77,961.80 × 31,001.01
  4. Step 4: Simplify right side
    56,494.22x = 2,416,894,530.87
  5. Step 5: Solve for x
    x = 2,416,894,530.87/56,494.22
  6. Step 6: Final answer
    x = 42,781.27

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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.