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Finding the Fourth Proportional to 106,857, 160,287.66 and 32,985

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Solution

The fourth proportional to 106,857, 160,287.66 and 32,985 is: 49,478.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,857 : 160,287.66 = 32,985 : x
  2. Step 2: Convert to fraction form
    106,857/160,287.66 = 32,985/x
  3. Step 3: Cross multiply
    106,857x = 160,287.66 × 32,985
  4. Step 4: Simplify right side
    106,857x = 5,287,088,465.10
  5. Step 5: Solve for x
    x = 5,287,088,465.10/106,857
  6. Step 6: Final answer
    x = 49,478.17

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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.