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Finding the Fourth Proportional to 55,642.42, 76,891.32 and 42,188.72

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Solution

The fourth proportional to 55,642.42, 76,891.32 and 42,188.72 is: 58,299.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,642.42 : 76,891.32 = 42,188.72 : x
  2. Step 2: Convert to fraction form
    55,642.42/76,891.32 = 42,188.72/x
  3. Step 3: Cross multiply
    55,642.42x = 76,891.32 × 42,188.72
  4. Step 4: Simplify right side
    55,642.42x = 3,243,946,562.14
  5. Step 5: Solve for x
    x = 3,243,946,562.14/55,642.42
  6. Step 6: Final answer
    x = 58,299.89

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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.