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Finding the Fourth Proportional to 48,391.68, 66,783.12 and 27,174

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Solution

The fourth proportional to 48,391.68, 66,783.12 and 27,174 is: 37,501.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,391.68 : 66,783.12 = 27,174 : x
  2. Step 2: Convert to fraction form
    48,391.68/66,783.12 = 27,174/x
  3. Step 3: Cross multiply
    48,391.68x = 66,783.12 × 27,174
  4. Step 4: Simplify right side
    48,391.68x = 1,814,764,502.88
  5. Step 5: Solve for x
    x = 1,814,764,502.88/48,391.68
  6. Step 6: Final answer
    x = 37,501.58

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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.