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Finding the Fourth Proportional to 38,298.69, 52,830.62 and 22,981.27

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Solution

The fourth proportional to 38,298.69, 52,830.62 and 22,981.27 is: 31,701.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,298.69 : 52,830.62 = 22,981.27 : x
  2. Step 2: Convert to fraction form
    38,298.69/52,830.62 = 22,981.27/x
  3. Step 3: Cross multiply
    38,298.69x = 52,830.62 × 22,981.27
  4. Step 4: Simplify right side
    38,298.69x = 1,214,114,874.56
  5. Step 5: Solve for x
    x = 1,214,114,874.56/38,298.69
  6. Step 6: Final answer
    x = 31,701.21

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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.