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Finding the Fourth Proportional to 71,785.32, 107,669.34 and 19,193.64

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Solution

The fourth proportional to 71,785.32, 107,669.34 and 19,193.64 is: 28,788.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,785.32 : 107,669.34 = 19,193.64 : x
  2. Step 2: Convert to fraction form
    71,785.32/107,669.34 = 19,193.64/x
  3. Step 3: Cross multiply
    71,785.32x = 107,669.34 × 19,193.64
  4. Step 4: Simplify right side
    71,785.32x = 2,066,566,551.00
  5. Step 5: Solve for x
    x = 2,066,566,551.00/71,785.32
  6. Step 6: Final answer
    x = 28,788.15

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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.