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Finding the Fourth Proportional to 27,269.31, 40,904.04 and 7,547.88

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Solution

The fourth proportional to 27,269.31, 40,904.04 and 7,547.88 is: 11,321.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,269.31 : 40,904.04 = 7,547.88 : x
  2. Step 2: Convert to fraction form
    27,269.31/40,904.04 = 7,547.88/x
  3. Step 3: Cross multiply
    27,269.31x = 40,904.04 × 7,547.88
  4. Step 4: Simplify right side
    27,269.31x = 308,738,924.67
  5. Step 5: Solve for x
    x = 308,738,924.67/27,269.31
  6. Step 6: Final answer
    x = 11,321.85

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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.