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Finding the Fourth Proportional to 117,091.16, 175,669.62 and 47,019.68

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Solution

The fourth proportional to 117,091.16, 175,669.62 and 47,019.68 is: 70,542.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,091.16 : 175,669.62 = 47,019.68 : x
  2. Step 2: Convert to fraction form
    117,091.16/175,669.62 = 47,019.68/x
  3. Step 3: Cross multiply
    117,091.16x = 175,669.62 × 47,019.68
  4. Step 4: Simplify right side
    117,091.16x = 8,259,929,318.12
  5. Step 5: Solve for x
    x = 8,259,929,318.12/117,091.16
  6. Step 6: Final answer
    x = 70,542.72

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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.