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Finding the Fourth Proportional to 106,295.48, 159,333.84 and 47,159

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Solution

The fourth proportional to 106,295.48, 159,333.84 and 47,159 is: 70,689.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,295.48 : 159,333.84 = 47,159 : x
  2. Step 2: Convert to fraction form
    106,295.48/159,333.84 = 47,159/x
  3. Step 3: Cross multiply
    106,295.48x = 159,333.84 × 47,159
  4. Step 4: Simplify right side
    106,295.48x = 7,514,024,560.56
  5. Step 5: Solve for x
    x = 7,514,024,560.56/106,295.48
  6. Step 6: Final answer
    x = 70,689.97

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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.