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Finding the Fourth Proportional to 47,007, 70,502.94 and 13,719.24

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Solution

The fourth proportional to 47,007, 70,502.94 and 13,719.24 is: 20,576.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,007 : 70,502.94 = 13,719.24 : x
  2. Step 2: Convert to fraction form
    47,007/70,502.94 = 13,719.24/x
  3. Step 3: Cross multiply
    47,007x = 70,502.94 × 13,719.24
  4. Step 4: Simplify right side
    47,007x = 967,246,754.57
  5. Step 5: Solve for x
    x = 967,246,754.57/47,007
  6. Step 6: Final answer
    x = 20,576.65

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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.