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Finding the Fourth Proportional to 30,797.96, 45,978.20 and 29,704.46

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Solution

The fourth proportional to 30,797.96, 45,978.20 and 29,704.46 is: 44,345.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,797.96 : 45,978.20 = 29,704.46 : x
  2. Step 2: Convert to fraction form
    30,797.96/45,978.20 = 29,704.46/x
  3. Step 3: Cross multiply
    30,797.96x = 45,978.20 × 29,704.46
  4. Step 4: Simplify right side
    30,797.96x = 1,365,757,602.77
  5. Step 5: Solve for x
    x = 1,365,757,602.77/30,797.96
  6. Step 6: Final answer
    x = 44,345.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.