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Finding the Fourth Proportional to 85,724.50, 128,550.65 and 32,407.49

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Solution

The fourth proportional to 85,724.50, 128,550.65 and 32,407.49 is: 48,597.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,724.50 : 128,550.65 = 32,407.49 : x
  2. Step 2: Convert to fraction form
    85,724.50/128,550.65 = 32,407.49/x
  3. Step 3: Cross multiply
    85,724.50x = 128,550.65 × 32,407.49
  4. Step 4: Simplify right side
    85,724.50x = 4,166,004,063.71
  5. Step 5: Solve for x
    x = 4,166,004,063.71/85,724.50
  6. Step 6: Final answer
    x = 48,597.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.