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Finding the Fourth Proportional to 74,146.16, 111,141.48 and 34,670

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Solution

The fourth proportional to 74,146.16, 111,141.48 and 34,670 is: 51,968.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,146.16 : 111,141.48 = 34,670 : x
  2. Step 2: Convert to fraction form
    74,146.16/111,141.48 = 34,670/x
  3. Step 3: Cross multiply
    74,146.16x = 111,141.48 × 34,670
  4. Step 4: Simplify right side
    74,146.16x = 3,853,275,111.60
  5. Step 5: Solve for x
    x = 3,853,275,111.60/74,146.16
  6. Step 6: Final answer
    x = 51,968.64

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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.