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Finding the Fourth Proportional to 36,546, 54,833.20 and 14,355.44

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Solution

The fourth proportional to 36,546, 54,833.20 and 14,355.44 is: 21,538.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,546 : 54,833.20 = 14,355.44 : x
  2. Step 2: Convert to fraction form
    36,546/54,833.20 = 14,355.44/x
  3. Step 3: Cross multiply
    36,546x = 54,833.20 × 14,355.44
  4. Step 4: Simplify right side
    36,546x = 787,154,712.61
  5. Step 5: Solve for x
    x = 787,154,712.61/36,546
  6. Step 6: Final answer
    x = 21,538.74

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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.