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Finding the Fourth Proportional to 97,826.50, 146,760.80 and 30,357.20

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Solution

The fourth proportional to 97,826.50, 146,760.80 and 30,357.20 is: 45,542.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,826.50 : 146,760.80 = 30,357.20 : x
  2. Step 2: Convert to fraction form
    97,826.50/146,760.80 = 30,357.20/x
  3. Step 3: Cross multiply
    97,826.50x = 146,760.80 × 30,357.20
  4. Step 4: Simplify right side
    97,826.50x = 4,455,246,957.76
  5. Step 5: Solve for x
    x = 4,455,246,957.76/97,826.50
  6. Step 6: Final answer
    x = 45,542.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.