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Finding the Fourth Proportional to 36,094.50, 49,823.92 and 27,167.76

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Solution

The fourth proportional to 36,094.50, 49,823.92 and 27,167.76 is: 37,501.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,094.50 : 49,823.92 = 27,167.76 : x
  2. Step 2: Convert to fraction form
    36,094.50/49,823.92 = 27,167.76/x
  3. Step 3: Cross multiply
    36,094.50x = 49,823.92 × 27,167.76
  4. Step 4: Simplify right side
    36,094.50x = 1,353,604,300.82
  5. Step 5: Solve for x
    x = 1,353,604,300.82/36,094.50
  6. Step 6: Final answer
    x = 37,501.68

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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.