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Finding the Fourth Proportional to 32,284.42, 48,284.99 and 28,751.46

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Solution

The fourth proportional to 32,284.42, 48,284.99 and 28,751.46 is: 43,001.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,284.42 : 48,284.99 = 28,751.46 : x
  2. Step 2: Convert to fraction form
    32,284.42/48,284.99 = 28,751.46/x
  3. Step 3: Cross multiply
    32,284.42x = 48,284.99 × 28,751.46
  4. Step 4: Simplify right side
    32,284.42x = 1,388,263,660.71
  5. Step 5: Solve for x
    x = 1,388,263,660.71/32,284.42
  6. Step 6: Final answer
    x = 43,001.04

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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.