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Finding the Fourth Proportional to 38,454.48, 53,066.16 and 22,323.60

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Solution

The fourth proportional to 38,454.48, 53,066.16 and 22,323.60 is: 30,805.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,454.48 : 53,066.16 = 22,323.60 : x
  2. Step 2: Convert to fraction form
    38,454.48/53,066.16 = 22,323.60/x
  3. Step 3: Cross multiply
    38,454.48x = 53,066.16 × 22,323.60
  4. Step 4: Simplify right side
    38,454.48x = 1,184,627,729.38
  5. Step 5: Solve for x
    x = 1,184,627,729.38/38,454.48
  6. Step 6: Final answer
    x = 30,805.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.