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Finding the Fourth Proportional to 74,567, 111,865.86 and 30,791

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Solution

The fourth proportional to 74,567, 111,865.86 and 30,791 is: 46,192.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,567 : 111,865.86 = 30,791 : x
  2. Step 2: Convert to fraction form
    74,567/111,865.86 = 30,791/x
  3. Step 3: Cross multiply
    74,567x = 111,865.86 × 30,791
  4. Step 4: Simplify right side
    74,567x = 3,444,461,695.26
  5. Step 5: Solve for x
    x = 3,444,461,695.26/74,567
  6. Step 6: Final answer
    x = 46,192.84

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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.