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Finding the Fourth Proportional to 38,035.84, 52,480.56 and 22,924.48

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Solution

The fourth proportional to 38,035.84, 52,480.56 and 22,924.48 is: 31,630.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,035.84 : 52,480.56 = 22,924.48 : x
  2. Step 2: Convert to fraction form
    38,035.84/52,480.56 = 22,924.48/x
  3. Step 3: Cross multiply
    38,035.84x = 52,480.56 × 22,924.48
  4. Step 4: Simplify right side
    38,035.84x = 1,203,089,548.11
  5. Step 5: Solve for x
    x = 1,203,089,548.11/38,035.84
  6. Step 6: Final answer
    x = 31,630.42

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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.