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Finding the Fourth Proportional to 59,594.32, 82,241.40 and 32,738.50

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Solution

The fourth proportional to 59,594.32, 82,241.40 and 32,738.50 is: 45,179.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,594.32 : 82,241.40 = 32,738.50 : x
  2. Step 2: Convert to fraction form
    59,594.32/82,241.40 = 32,738.50/x
  3. Step 3: Cross multiply
    59,594.32x = 82,241.40 × 32,738.50
  4. Step 4: Simplify right side
    59,594.32x = 2,692,460,073.90
  5. Step 5: Solve for x
    x = 2,692,460,073.90/59,594.32
  6. Step 6: Final answer
    x = 45,179.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.