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Finding the Fourth Proportional to 36,098.60, 54,141.68 and 9,805.46

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Solution

The fourth proportional to 36,098.60, 54,141.68 and 9,805.46 is: 14,706.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,098.60 : 54,141.68 = 9,805.46 : x
  2. Step 2: Convert to fraction form
    36,098.60/54,141.68 = 9,805.46/x
  3. Step 3: Cross multiply
    36,098.60x = 54,141.68 × 9,805.46
  4. Step 4: Simplify right side
    36,098.60x = 530,883,831.38
  5. Step 5: Solve for x
    x = 530,883,831.38/36,098.60
  6. Step 6: Final answer
    x = 14,706.50

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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.