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Finding the Fourth Proportional to 47,020.14, 70,529.90 and 11,959.50

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Solution

The fourth proportional to 47,020.14, 70,529.90 and 11,959.50 is: 17,939.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,020.14 : 70,529.90 = 11,959.50 : x
  2. Step 2: Convert to fraction form
    47,020.14/70,529.90 = 11,959.50/x
  3. Step 3: Cross multiply
    47,020.14x = 70,529.90 × 11,959.50
  4. Step 4: Simplify right side
    47,020.14x = 843,502,339.05
  5. Step 5: Solve for x
    x = 843,502,339.05/47,020.14
  6. Step 6: Final answer
    x = 17,939.17

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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.