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Finding the Fourth Proportional to 37,097.73, 55,646.10 and 9,018

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Solution

The fourth proportional to 37,097.73, 55,646.10 and 9,018 is: 13,526.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,097.73 : 55,646.10 = 9,018 : x
  2. Step 2: Convert to fraction form
    37,097.73/55,646.10 = 9,018/x
  3. Step 3: Cross multiply
    37,097.73x = 55,646.10 × 9,018
  4. Step 4: Simplify right side
    37,097.73x = 501,816,529.80
  5. Step 5: Solve for x
    x = 501,816,529.80/37,097.73
  6. Step 6: Final answer
    x = 13,526.88

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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.