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Finding the Fourth Proportional to 53,223.22, 73,454.70 and 30,569.30

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Solution

The fourth proportional to 53,223.22, 73,454.70 and 30,569.30 is: 42,189.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,223.22 : 73,454.70 = 30,569.30 : x
  2. Step 2: Convert to fraction form
    53,223.22/73,454.70 = 30,569.30/x
  3. Step 3: Cross multiply
    53,223.22x = 73,454.70 × 30,569.30
  4. Step 4: Simplify right side
    53,223.22x = 2,245,458,760.71
  5. Step 5: Solve for x
    x = 2,245,458,760.71/53,223.22
  6. Step 6: Final answer
    x = 42,189.46

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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.