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Finding the Fourth Proportional to 27,507.50, 37,960.26 and 14,932.16

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Solution

The fourth proportional to 27,507.50, 37,960.26 and 14,932.16 is: 20,606.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,507.50 : 37,960.26 = 14,932.16 : x
  2. Step 2: Convert to fraction form
    27,507.50/37,960.26 = 14,932.16/x
  3. Step 3: Cross multiply
    27,507.50x = 37,960.26 × 14,932.16
  4. Step 4: Simplify right side
    27,507.50x = 566,828,675.96
  5. Step 5: Solve for x
    x = 566,828,675.96/27,507.50
  6. Step 6: Final answer
    x = 20,606.33

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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.