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Finding the Fourth Proportional to 36,098.15, 49,795.45 and 20,989.14

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Solution

The fourth proportional to 36,098.15, 49,795.45 and 20,989.14 is: 28,953.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,098.15 : 49,795.45 = 20,989.14 : x
  2. Step 2: Convert to fraction form
    36,098.15/49,795.45 = 20,989.14/x
  3. Step 3: Cross multiply
    36,098.15x = 49,795.45 × 20,989.14
  4. Step 4: Simplify right side
    36,098.15x = 1,045,163,671.41
  5. Step 5: Solve for x
    x = 1,045,163,671.41/36,098.15
  6. Step 6: Final answer
    x = 28,953.39

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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.