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Finding the Fourth Proportional to 103,097.70, 154,646.55 and 36,537.30

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Solution

The fourth proportional to 103,097.70, 154,646.55 and 36,537.30 is: 54,805.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,097.70 : 154,646.55 = 36,537.30 : x
  2. Step 2: Convert to fraction form
    103,097.70/154,646.55 = 36,537.30/x
  3. Step 3: Cross multiply
    103,097.70x = 154,646.55 × 36,537.30
  4. Step 4: Simplify right side
    103,097.70x = 5,650,367,391.32
  5. Step 5: Solve for x
    x = 5,650,367,391.32/103,097.70
  6. Step 6: Final answer
    x = 54,805.95

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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.