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Finding the Fourth Proportional to 55,845, 77,066.10 and 30,693.96

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Solution

The fourth proportional to 55,845, 77,066.10 and 30,693.96 is: 42,357.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,845 : 77,066.10 = 30,693.96 : x
  2. Step 2: Convert to fraction form
    55,845/77,066.10 = 30,693.96/x
  3. Step 3: Cross multiply
    55,845x = 77,066.10 × 30,693.96
  4. Step 4: Simplify right side
    55,845x = 2,365,463,790.76
  5. Step 5: Solve for x
    x = 2,365,463,790.76/55,845
  6. Step 6: Final answer
    x = 42,357.66

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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.