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Finding the Fourth Proportional to 34,365.16, 47,309.75 and 30,822.22

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Solution

The fourth proportional to 34,365.16, 47,309.75 and 30,822.22 is: 42,432.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,365.16 : 47,309.75 = 30,822.22 : x
  2. Step 2: Convert to fraction form
    34,365.16/47,309.75 = 30,822.22/x
  3. Step 3: Cross multiply
    34,365.16x = 47,309.75 × 30,822.22
  4. Step 4: Simplify right side
    34,365.16x = 1,458,191,286.10
  5. Step 5: Solve for x
    x = 1,458,191,286.10/34,365.16
  6. Step 6: Final answer
    x = 42,432.26

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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.