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Finding the Fourth Proportional to 70,671.83, 106,023.38 and 23,285.00

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Solution

The fourth proportional to 70,671.83, 106,023.38 and 23,285.00 is: 34,932.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,671.83 : 106,023.38 = 23,285.00 : x
  2. Step 2: Convert to fraction form
    70,671.83/106,023.38 = 23,285.00/x
  3. Step 3: Cross multiply
    70,671.83x = 106,023.38 × 23,285.00
  4. Step 4: Simplify right side
    70,671.83x = 2,468,753,756.76
  5. Step 5: Solve for x
    x = 2,468,753,756.76/70,671.83
  6. Step 6: Final answer
    x = 34,932.64

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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.