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Finding the Fourth Proportional to 32,647.95, 48,944.25 and 15,993.81

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Solution

The fourth proportional to 32,647.95, 48,944.25 and 15,993.81 is: 23,977.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,647.95 : 48,944.25 = 15,993.81 : x
  2. Step 2: Convert to fraction form
    32,647.95/48,944.25 = 15,993.81/x
  3. Step 3: Cross multiply
    32,647.95x = 48,944.25 × 15,993.81
  4. Step 4: Simplify right side
    32,647.95x = 782,805,035.09
  5. Step 5: Solve for x
    x = 782,805,035.09/32,647.95
  6. Step 6: Final answer
    x = 23,977.16

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1.5x scale

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.