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Finding the Fourth Proportional to 56,360.12, 77,773.86 and 31,208

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Solution

The fourth proportional to 56,360.12, 77,773.86 and 31,208 is: 43,065.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,360.12 : 77,773.86 = 31,208 : x
  2. Step 2: Convert to fraction form
    56,360.12/77,773.86 = 31,208/x
  3. Step 3: Cross multiply
    56,360.12x = 77,773.86 × 31,208
  4. Step 4: Simplify right side
    56,360.12x = 2,427,166,622.88
  5. Step 5: Solve for x
    x = 2,427,166,622.88/56,360.12
  6. Step 6: Final answer
    x = 43,065.32

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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.