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Finding the Fourth Proportional to 142,343.64, 213,442.83 and 47,539.67

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Solution

The fourth proportional to 142,343.64, 213,442.83 and 47,539.67 is: 71,285.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,343.64 : 213,442.83 = 47,539.67 : x
  2. Step 2: Convert to fraction form
    142,343.64/213,442.83 = 47,539.67/x
  3. Step 3: Cross multiply
    142,343.64x = 213,442.83 × 47,539.67
  4. Step 4: Simplify right side
    142,343.64x = 10,147,000,634.85
  5. Step 5: Solve for x
    x = 10,147,000,634.85/142,343.64
  6. Step 6: Final answer
    x = 71,285.24

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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.