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Finding the Fourth Proportional to 71,848.56, 107,774.19 and 19,257.60

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Solution

The fourth proportional to 71,848.56, 107,774.19 and 19,257.60 is: 28,886.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,848.56 : 107,774.19 = 19,257.60 : x
  2. Step 2: Convert to fraction form
    71,848.56/107,774.19 = 19,257.60/x
  3. Step 3: Cross multiply
    71,848.56x = 107,774.19 × 19,257.60
  4. Step 4: Simplify right side
    71,848.56x = 2,075,472,241.34
  5. Step 5: Solve for x
    x = 2,075,472,241.34/71,848.56
  6. Step 6: Final answer
    x = 28,886.76

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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.