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Finding the Fourth Proportional to 55,653.66, 76,811.92 and 42,202.24

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Solution

The fourth proportional to 55,653.66, 76,811.92 and 42,202.24 is: 58,246.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,653.66 : 76,811.92 = 42,202.24 : x
  2. Step 2: Convert to fraction form
    55,653.66/76,811.92 = 42,202.24/x
  3. Step 3: Cross multiply
    55,653.66x = 76,811.92 × 42,202.24
  4. Step 4: Simplify right side
    55,653.66x = 3,241,634,785.17
  5. Step 5: Solve for x
    x = 3,241,634,785.17/55,653.66
  6. Step 6: Final answer
    x = 58,246.57

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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.