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Finding the Fourth Proportional to 30,272.01, 45,390.72 and 9,205.83

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Solution

The fourth proportional to 30,272.01, 45,390.72 and 9,205.83 is: 13,803.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,272.01 : 45,390.72 = 9,205.83 : x
  2. Step 2: Convert to fraction form
    30,272.01/45,390.72 = 9,205.83/x
  3. Step 3: Cross multiply
    30,272.01x = 45,390.72 × 9,205.83
  4. Step 4: Simplify right side
    30,272.01x = 417,859,251.90
  5. Step 5: Solve for x
    x = 417,859,251.90/30,272.01
  6. Step 6: Final answer
    x = 13,803.49

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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.