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Finding the Fourth Proportional to 32,624.16, 45,023.52 and 18,284.16

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Solution

The fourth proportional to 32,624.16, 45,023.52 and 18,284.16 is: 25,233.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,624.16 : 45,023.52 = 18,284.16 : x
  2. Step 2: Convert to fraction form
    32,624.16/45,023.52 = 18,284.16/x
  3. Step 3: Cross multiply
    32,624.16x = 45,023.52 × 18,284.16
  4. Step 4: Simplify right side
    32,624.16x = 823,217,243.44
  5. Step 5: Solve for x
    x = 823,217,243.44/32,624.16
  6. Step 6: Final answer
    x = 25,233.36

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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.