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Finding the Fourth Proportional to 101,442.60, 152,163.90 and 31,312.80

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Solution

The fourth proportional to 101,442.60, 152,163.90 and 31,312.80 is: 46,969.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,442.60 : 152,163.90 = 31,312.80 : x
  2. Step 2: Convert to fraction form
    101,442.60/152,163.90 = 31,312.80/x
  3. Step 3: Cross multiply
    101,442.60x = 152,163.90 × 31,312.80
  4. Step 4: Simplify right side
    101,442.60x = 4,764,677,767.92
  5. Step 5: Solve for x
    x = 4,764,677,767.92/101,442.60
  6. Step 6: Final answer
    x = 46,969.20

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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.