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Finding the Fourth Proportional to 114,129.50, 171,101.47 and 47,619.18

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Solution

The fourth proportional to 114,129.50, 171,101.47 and 47,619.18 is: 71,390.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,129.50 : 171,101.47 = 47,619.18 : x
  2. Step 2: Convert to fraction form
    114,129.50/171,101.47 = 47,619.18/x
  3. Step 3: Cross multiply
    114,129.50x = 171,101.47 × 47,619.18
  4. Step 4: Simplify right side
    114,129.50x = 8,147,711,579.15
  5. Step 5: Solve for x
    x = 8,147,711,579.15/114,129.50
  6. Step 6: Final answer
    x = 71,390.06

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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.