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Finding the Fourth Proportional to 47,020.86, 70,535.84 and 13,740.17

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Solution

The fourth proportional to 47,020.86, 70,535.84 and 13,740.17 is: 20,611.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,020.86 : 70,535.84 = 13,740.17 : x
  2. Step 2: Convert to fraction form
    47,020.86/70,535.84 = 13,740.17/x
  3. Step 3: Cross multiply
    47,020.86x = 70,535.84 × 13,740.17
  4. Step 4: Simplify right side
    47,020.86x = 969,174,011.31
  5. Step 5: Solve for x
    x = 969,174,011.31/47,020.86
  6. Step 6: Final answer
    x = 20,611.58

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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.