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Finding the Fourth Proportional to 55,290.96, 76,302 and 30,142.08

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Solution

The fourth proportional to 55,290.96, 76,302 and 30,142.08 is: 41,596.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,290.96 : 76,302 = 30,142.08 : x
  2. Step 2: Convert to fraction form
    55,290.96/76,302 = 30,142.08/x
  3. Step 3: Cross multiply
    55,290.96x = 76,302 × 30,142.08
  4. Step 4: Simplify right side
    55,290.96x = 2,299,900,988.16
  5. Step 5: Solve for x
    x = 2,299,900,988.16/55,290.96
  6. Step 6: Final answer
    x = 41,596.33

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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.