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Finding the Fourth Proportional to 114,107.76, 171,088.74 and 47,593.80

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Solution

The fourth proportional to 114,107.76, 171,088.74 and 47,593.80 is: 71,360.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,107.76 : 171,088.74 = 47,593.80 : x
  2. Step 2: Convert to fraction form
    114,107.76/171,088.74 = 47,593.80/x
  3. Step 3: Cross multiply
    114,107.76x = 171,088.74 × 47,593.80
  4. Step 4: Simplify right side
    114,107.76x = 8,142,763,273.81
  5. Step 5: Solve for x
    x = 8,142,763,273.81/114,107.76
  6. Step 6: Final answer
    x = 71,360.29

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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.