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Finding the Fourth Proportional to 32,838.75, 49,258.26 and 8,214.75

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Solution

The fourth proportional to 32,838.75, 49,258.26 and 8,214.75 is: 12,322.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,838.75 : 49,258.26 = 8,214.75 : x
  2. Step 2: Convert to fraction form
    32,838.75/49,258.26 = 8,214.75/x
  3. Step 3: Cross multiply
    32,838.75x = 49,258.26 × 8,214.75
  4. Step 4: Simplify right side
    32,838.75x = 404,644,291.34
  5. Step 5: Solve for x
    x = 404,644,291.34/32,838.75
  6. Step 6: Final answer
    x = 12,322.16

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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.