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Finding the Fourth Proportional to 76,268.16, 114,402.24 and 34,686

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Solution

The fourth proportional to 76,268.16, 114,402.24 and 34,686 is: 52,029

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,268.16 : 114,402.24 = 34,686 : x
  2. Step 2: Convert to fraction form
    76,268.16/114,402.24 = 34,686/x
  3. Step 3: Cross multiply
    76,268.16x = 114,402.24 × 34,686
  4. Step 4: Simplify right side
    76,268.16x = 3,968,156,096.64
  5. Step 5: Solve for x
    x = 3,968,156,096.64/76,268.16
  6. Step 6: Final answer
    x = 52,029

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.