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Finding the Fourth Proportional to 103,204.37, 154,821.95 and 36,638.93

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Solution

The fourth proportional to 103,204.37, 154,821.95 and 36,638.93 is: 54,963.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,204.37 : 154,821.95 = 36,638.93 : x
  2. Step 2: Convert to fraction form
    103,204.37/154,821.95 = 36,638.93/x
  3. Step 3: Cross multiply
    103,204.37x = 154,821.95 × 36,638.93
  4. Step 4: Simplify right side
    103,204.37x = 5,672,509,631.21
  5. Step 5: Solve for x
    x = 5,672,509,631.21/103,204.37
  6. Step 6: Final answer
    x = 54,963.85

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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.