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Finding the Fourth Proportional to 55,242.40, 76,234 and 30,091.68

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Solution

The fourth proportional to 55,242.40, 76,234 and 30,091.68 is: 41,526.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,242.40 : 76,234 = 30,091.68 : x
  2. Step 2: Convert to fraction form
    55,242.40/76,234 = 30,091.68/x
  3. Step 3: Cross multiply
    55,242.40x = 76,234 × 30,091.68
  4. Step 4: Simplify right side
    55,242.40x = 2,294,009,133.12
  5. Step 5: Solve for x
    x = 2,294,009,133.12/55,242.40
  6. Step 6: Final answer
    x = 41,526.24

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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.