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Finding the Fourth Proportional to 106,807.14, 160,216.53 and 31,933.11

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Solution

The fourth proportional to 106,807.14, 160,216.53 and 31,933.11 is: 47,901.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,807.14 : 160,216.53 = 31,933.11 : x
  2. Step 2: Convert to fraction form
    106,807.14/160,216.53 = 31,933.11/x
  3. Step 3: Cross multiply
    106,807.14x = 160,216.53 × 31,933.11
  4. Step 4: Simplify right side
    106,807.14x = 5,116,212,076.31
  5. Step 5: Solve for x
    x = 5,116,212,076.31/106,807.14
  6. Step 6: Final answer
    x = 47,901.41

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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.