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Finding the Fourth Proportional to 32,642.24, 48,963.36 and 8,018.24

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Solution

The fourth proportional to 32,642.24, 48,963.36 and 8,018.24 is: 12,027.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,642.24 : 48,963.36 = 8,018.24 : x
  2. Step 2: Convert to fraction form
    32,642.24/48,963.36 = 8,018.24/x
  3. Step 3: Cross multiply
    32,642.24x = 48,963.36 × 8,018.24
  4. Step 4: Simplify right side
    32,642.24x = 392,599,971.69
  5. Step 5: Solve for x
    x = 392,599,971.69/32,642.24
  6. Step 6: Final answer
    x = 12,027.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.