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Finding the Fourth Proportional to 55,917, 77,165.64 and 30,766.68

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Solution

The fourth proportional to 55,917, 77,165.64 and 30,766.68 is: 42,458.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,917 : 77,165.64 = 30,766.68 : x
  2. Step 2: Convert to fraction form
    55,917/77,165.64 = 30,766.68/x
  3. Step 3: Cross multiply
    55,917x = 77,165.64 × 30,766.68
  4. Step 4: Simplify right side
    55,917x = 2,374,130,552.88
  5. Step 5: Solve for x
    x = 2,374,130,552.88/55,917
  6. Step 6: Final answer
    x = 42,458.12

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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.