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Finding the Fourth Proportional to 116,882, 175,346.04 and 37,998.16

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Solution

The fourth proportional to 116,882, 175,346.04 and 37,998.16 is: 57,004.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,882 : 175,346.04 = 37,998.16 : x
  2. Step 2: Convert to fraction form
    116,882/175,346.04 = 37,998.16/x
  3. Step 3: Cross multiply
    116,882x = 175,346.04 × 37,998.16
  4. Step 4: Simplify right side
    116,882x = 6,662,826,883.29
  5. Step 5: Solve for x
    x = 6,662,826,883.29/116,882
  6. Step 6: Final answer
    x = 57,004.73

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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.