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Finding the Fourth Proportional to 32,867.68, 49,308 and 9,494.32

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Solution

The fourth proportional to 32,867.68, 49,308 and 9,494.32 is: 14,243.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,867.68 : 49,308 = 9,494.32 : x
  2. Step 2: Convert to fraction form
    32,867.68/49,308 = 9,494.32/x
  3. Step 3: Cross multiply
    32,867.68x = 49,308 × 9,494.32
  4. Step 4: Simplify right side
    32,867.68x = 468,145,930.56
  5. Step 5: Solve for x
    x = 468,145,930.56/32,867.68
  6. Step 6: Final answer
    x = 14,243.35

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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.