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Finding the Fourth Proportional to 56,257.68, 77,635.26 and 31,107

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Solution

The fourth proportional to 56,257.68, 77,635.26 and 31,107 is: 42,927.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,257.68 : 77,635.26 = 31,107 : x
  2. Step 2: Convert to fraction form
    56,257.68/77,635.26 = 31,107/x
  3. Step 3: Cross multiply
    56,257.68x = 77,635.26 × 31,107
  4. Step 4: Simplify right side
    56,257.68x = 2,415,000,032.82
  5. Step 5: Solve for x
    x = 2,415,000,032.82/56,257.68
  6. Step 6: Final answer
    x = 42,927.47

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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.