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Finding the Fourth Proportional to 27,097.38, 37,403.03 and 19,032.98

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Solution

The fourth proportional to 27,097.38, 37,403.03 and 19,032.98 is: 26,271.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,097.38 : 37,403.03 = 19,032.98 : x
  2. Step 2: Convert to fraction form
    27,097.38/37,403.03 = 19,032.98/x
  3. Step 3: Cross multiply
    27,097.38x = 37,403.03 × 19,032.98
  4. Step 4: Simplify right side
    27,097.38x = 711,890,982.50
  5. Step 5: Solve for x
    x = 711,890,982.50/27,097.38
  6. Step 6: Final answer
    x = 26,271.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.