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Finding the Fourth Proportional to 72,202.60, 108,287.70 and 47,416.60

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Solution

The fourth proportional to 72,202.60, 108,287.70 and 47,416.60 is: 71,114.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,202.60 : 108,287.70 = 47,416.60 : x
  2. Step 2: Convert to fraction form
    72,202.60/108,287.70 = 47,416.60/x
  3. Step 3: Cross multiply
    72,202.60x = 108,287.70 × 47,416.60
  4. Step 4: Simplify right side
    72,202.60x = 5,134,634,555.82
  5. Step 5: Solve for x
    x = 5,134,634,555.82/72,202.60
  6. Step 6: Final answer
    x = 71,114.26

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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.