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Finding the Fourth Proportional to 27,509.31, 37,924.07 and 19,548.63

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Solution

The fourth proportional to 27,509.31, 37,924.07 and 19,548.63 is: 26,949.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,509.31 : 37,924.07 = 19,548.63 : x
  2. Step 2: Convert to fraction form
    27,509.31/37,924.07 = 19,548.63/x
  3. Step 3: Cross multiply
    27,509.31x = 37,924.07 × 19,548.63
  4. Step 4: Simplify right side
    27,509.31x = 741,363,514.78
  5. Step 5: Solve for x
    x = 741,363,514.78/27,509.31
  6. Step 6: Final answer
    x = 26,949.55

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1.5x scale

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.