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Finding the Fourth Proportional to 38,011.84, 52,458.17 and 21,015.77

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Solution

The fourth proportional to 38,011.84, 52,458.17 and 21,015.77 is: 29,002.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,011.84 : 52,458.17 = 21,015.77 : x
  2. Step 2: Convert to fraction form
    38,011.84/52,458.17 = 21,015.77/x
  3. Step 3: Cross multiply
    38,011.84x = 52,458.17 × 21,015.77
  4. Step 4: Simplify right side
    38,011.84x = 1,102,448,730.26
  5. Step 5: Solve for x
    x = 1,102,448,730.26/38,011.84
  6. Step 6: Final answer
    x = 29,002.78

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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.