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Finding the Fourth Proportional to 71,898.77, 107,848.82 and 19,308.24

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Solution

The fourth proportional to 71,898.77, 107,848.82 and 19,308.24 is: 28,962.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,898.77 : 107,848.82 = 19,308.24 : x
  2. Step 2: Convert to fraction form
    71,898.77/107,848.82 = 19,308.24/x
  3. Step 3: Cross multiply
    71,898.77x = 107,848.82 × 19,308.24
  4. Step 4: Simplify right side
    71,898.77x = 2,082,370,948.55
  5. Step 5: Solve for x
    x = 2,082,370,948.55/71,898.77
  6. Step 6: Final answer
    x = 28,962.54

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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.