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Finding the Fourth Proportional to 32,697.13, 49,046.15 and 9,323.57

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Solution

The fourth proportional to 32,697.13, 49,046.15 and 9,323.57 is: 13,985.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,697.13 : 49,046.15 = 9,323.57 : x
  2. Step 2: Convert to fraction form
    32,697.13/49,046.15 = 9,323.57/x
  3. Step 3: Cross multiply
    32,697.13x = 49,046.15 × 9,323.57
  4. Step 4: Simplify right side
    32,697.13x = 457,285,212.76
  5. Step 5: Solve for x
    x = 457,285,212.76/32,697.13
  6. Step 6: Final answer
    x = 13,985.48

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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.