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Finding the Fourth Proportional to 103,823.71, 155,771.71 and 32,757.32

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Solution

The fourth proportional to 103,823.71, 155,771.71 and 32,757.32 is: 49,147.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,823.71 : 155,771.71 = 32,757.32 : x
  2. Step 2: Convert to fraction form
    103,823.71/155,771.71 = 32,757.32/x
  3. Step 3: Cross multiply
    103,823.71x = 155,771.71 × 32,757.32
  4. Step 4: Simplify right side
    103,823.71x = 5,102,663,587.63
  5. Step 5: Solve for x
    x = 5,102,663,587.63/103,823.71
  6. Step 6: Final answer
    x = 49,147.38

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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.