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Finding the Fourth Proportional to 37,286.14, 55,888.65 and 18,580

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Solution

The fourth proportional to 37,286.14, 55,888.65 and 18,580 is: 27,849.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,286.14 : 55,888.65 = 18,580 : x
  2. Step 2: Convert to fraction form
    37,286.14/55,888.65 = 18,580/x
  3. Step 3: Cross multiply
    37,286.14x = 55,888.65 × 18,580
  4. Step 4: Simplify right side
    37,286.14x = 1,038,411,117
  5. Step 5: Solve for x
    x = 1,038,411,117/37,286.14
  6. Step 6: Final answer
    x = 27,849.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.