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Finding the Fourth Proportional to 38,349.52, 52,922.30 and 21,582.88

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Solution

The fourth proportional to 38,349.52, 52,922.30 and 21,582.88 is: 29,784.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,349.52 : 52,922.30 = 21,582.88 : x
  2. Step 2: Convert to fraction form
    38,349.52/52,922.30 = 21,582.88/x
  3. Step 3: Cross multiply
    38,349.52x = 52,922.30 × 21,582.88
  4. Step 4: Simplify right side
    38,349.52x = 1,142,215,650.22
  5. Step 5: Solve for x
    x = 1,142,215,650.22/38,349.52
  6. Step 6: Final answer
    x = 29,784.35

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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.