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Finding the Fourth Proportional to 46,777.82, 70,158.27 and 13,489.70

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Solution

The fourth proportional to 46,777.82, 70,158.27 and 13,489.70 is: 20,232.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,777.82 : 70,158.27 = 13,489.70 : x
  2. Step 2: Convert to fraction form
    46,777.82/70,158.27 = 13,489.70/x
  3. Step 3: Cross multiply
    46,777.82x = 70,158.27 × 13,489.70
  4. Step 4: Simplify right side
    46,777.82x = 946,414,014.82
  5. Step 5: Solve for x
    x = 946,414,014.82/46,777.82
  6. Step 6: Final answer
    x = 20,232.11

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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.