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Finding the Fourth Proportional to 71,784.88, 107,523.48 and 58,394.32

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Solution

The fourth proportional to 71,784.88, 107,523.48 and 58,394.32 is: 87,466.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,784.88 : 107,523.48 = 58,394.32 : x
  2. Step 2: Convert to fraction form
    71,784.88/107,523.48 = 58,394.32/x
  3. Step 3: Cross multiply
    71,784.88x = 107,523.48 × 58,394.32
  4. Step 4: Simplify right side
    71,784.88x = 6,278,760,498.63
  5. Step 5: Solve for x
    x = 6,278,760,498.63/71,784.88
  6. Step 6: Final answer
    x = 87,466.34

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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.