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Finding the Fourth Proportional to 55,670.96, 76,827 and 30,518.96

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Solution

The fourth proportional to 55,670.96, 76,827 and 30,518.96 is: 42,116.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,670.96 : 76,827 = 30,518.96 : x
  2. Step 2: Convert to fraction form
    55,670.96/76,827 = 30,518.96/x
  3. Step 3: Cross multiply
    55,670.96x = 76,827 × 30,518.96
  4. Step 4: Simplify right side
    55,670.96x = 2,344,680,139.92
  5. Step 5: Solve for x
    x = 2,344,680,139.92/55,670.96
  6. Step 6: Final answer
    x = 42,116.75

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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.