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Finding the Fourth Proportional to 56,498.21, 77,967.31 and 31,005

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Solution

The fourth proportional to 56,498.21, 77,967.31 and 31,005 is: 42,786.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,498.21 : 77,967.31 = 31,005 : x
  2. Step 2: Convert to fraction form
    56,498.21/77,967.31 = 31,005/x
  3. Step 3: Cross multiply
    56,498.21x = 77,967.31 × 31,005
  4. Step 4: Simplify right side
    56,498.21x = 2,417,376,446.55
  5. Step 5: Solve for x
    x = 2,417,376,446.55/56,498.21
  6. Step 6: Final answer
    x = 42,786.78

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