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Finding the Fourth Proportional to 56,215.12, 77,573.82 and 31,063

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Solution

The fourth proportional to 56,215.12, 77,573.82 and 31,063 is: 42,865.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,215.12 : 77,573.82 = 31,063 : x
  2. Step 2: Convert to fraction form
    56,215.12/77,573.82 = 31,063/x
  3. Step 3: Cross multiply
    56,215.12x = 77,573.82 × 31,063
  4. Step 4: Simplify right side
    56,215.12x = 2,409,675,570.66
  5. Step 5: Solve for x
    x = 2,409,675,570.66/56,215.12
  6. Step 6: Final answer
    x = 42,865.26

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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.