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Finding the Fourth Proportional to 38,349.28, 52,922 and 21,582.24

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Solution

The fourth proportional to 38,349.28, 52,922 and 21,582.24 is: 29,783.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,349.28 : 52,922 = 21,582.24 : x
  2. Step 2: Convert to fraction form
    38,349.28/52,922 = 21,582.24/x
  3. Step 3: Cross multiply
    38,349.28x = 52,922 × 21,582.24
  4. Step 4: Simplify right side
    38,349.28x = 1,142,175,305.28
  5. Step 5: Solve for x
    x = 1,142,175,305.28/38,349.28
  6. Step 6: Final answer
    x = 29,783.49

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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.