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Finding the Fourth Proportional to 47,500.16, 71,188.38 and 19,387.22

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Solution

The fourth proportional to 47,500.16, 71,188.38 and 19,387.22 is: 29,055.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,500.16 : 71,188.38 = 19,387.22 : x
  2. Step 2: Convert to fraction form
    47,500.16/71,188.38 = 19,387.22/x
  3. Step 3: Cross multiply
    47,500.16x = 71,188.38 × 19,387.22
  4. Step 4: Simplify right side
    47,500.16x = 1,380,144,784.50
  5. Step 5: Solve for x
    x = 1,380,144,784.50/47,500.16
  6. Step 6: Final answer
    x = 29,055.58

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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.