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Finding the Fourth Proportional to 27,290.30, 40,935.51 and 7,569.90

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Solution

The fourth proportional to 27,290.30, 40,935.51 and 7,569.90 is: 11,354.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,290.30 : 40,935.51 = 7,569.90 : x
  2. Step 2: Convert to fraction form
    27,290.30/40,935.51 = 7,569.90/x
  3. Step 3: Cross multiply
    27,290.30x = 40,935.51 × 7,569.90
  4. Step 4: Simplify right side
    27,290.30x = 309,877,717.15
  5. Step 5: Solve for x
    x = 309,877,717.15/27,290.30
  6. Step 6: Final answer
    x = 11,354.87

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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.