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Finding the Fourth Proportional to 27,501.12, 37,978.56 and 23,498.88

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Solution

The fourth proportional to 27,501.12, 37,978.56 and 23,498.88 is: 32,451.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,501.12 : 37,978.56 = 23,498.88 : x
  2. Step 2: Convert to fraction form
    27,501.12/37,978.56 = 23,498.88/x
  3. Step 3: Cross multiply
    27,501.12x = 37,978.56 × 23,498.88
  4. Step 4: Simplify right side
    27,501.12x = 892,453,624.01
  5. Step 5: Solve for x
    x = 892,453,624.01/27,501.12
  6. Step 6: Final answer
    x = 32,451.54

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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.