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Finding the Fourth Proportional to 38,298.84, 52,851.28 and 23,200.44

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Solution

The fourth proportional to 38,298.84, 52,851.28 and 23,200.44 is: 32,015.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,298.84 : 52,851.28 = 23,200.44 : x
  2. Step 2: Convert to fraction form
    38,298.84/52,851.28 = 23,200.44/x
  3. Step 3: Cross multiply
    38,298.84x = 52,851.28 × 23,200.44
  4. Step 4: Simplify right side
    38,298.84x = 1,226,172,950.56
  5. Step 5: Solve for x
    x = 1,226,172,950.56/38,298.84
  6. Step 6: Final answer
    x = 32,015.93

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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.