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Finding the Fourth Proportional to 38,897.82, 58,341.87 and 10,819.98

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Solution

The fourth proportional to 38,897.82, 58,341.87 and 10,819.98 is: 16,228.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,897.82 : 58,341.87 = 10,819.98 : x
  2. Step 2: Convert to fraction form
    38,897.82/58,341.87 = 10,819.98/x
  3. Step 3: Cross multiply
    38,897.82x = 58,341.87 × 10,819.98
  4. Step 4: Simplify right side
    38,897.82x = 631,257,866.56
  5. Step 5: Solve for x
    x = 631,257,866.56/38,897.82
  6. Step 6: Final answer
    x = 16,228.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.