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Finding the Fourth Proportional to 106,700.24, 160,058.48 and 31,814.64

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Solution

The fourth proportional to 106,700.24, 160,058.48 and 31,814.64 is: 47,724.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,700.24 : 160,058.48 = 31,814.64 : x
  2. Step 2: Convert to fraction form
    106,700.24/160,058.48 = 31,814.64/x
  3. Step 3: Cross multiply
    106,700.24x = 160,058.48 × 31,814.64
  4. Step 4: Simplify right side
    106,700.24x = 5,092,202,920.15
  5. Step 5: Solve for x
    x = 5,092,202,920.15/106,700.24
  6. Step 6: Final answer
    x = 47,724.38

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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.