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Finding the Fourth Proportional to 38,011.60, 52,451.40 and 22,098.64

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Solution

The fourth proportional to 38,011.60, 52,451.40 and 22,098.64 is: 30,493.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,011.60 : 52,451.40 = 22,098.64 : x
  2. Step 2: Convert to fraction form
    38,011.60/52,451.40 = 22,098.64/x
  3. Step 3: Cross multiply
    38,011.60x = 52,451.40 × 22,098.64
  4. Step 4: Simplify right side
    38,011.60x = 1,159,104,606.10
  5. Step 5: Solve for x
    x = 1,159,104,606.10/38,011.60
  6. Step 6: Final answer
    x = 30,493.44

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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.