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Finding the Fourth Proportional to 32,697.10, 49,046.10 and 9,323.53

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Solution

The fourth proportional to 32,697.10, 49,046.10 and 9,323.53 is: 13,985.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,697.10 : 49,046.10 = 9,323.53 : x
  2. Step 2: Convert to fraction form
    32,697.10/49,046.10 = 9,323.53/x
  3. Step 3: Cross multiply
    32,697.10x = 49,046.10 × 9,323.53
  4. Step 4: Simplify right side
    32,697.10x = 457,282,784.73
  5. Step 5: Solve for x
    x = 457,282,784.73/32,697.10
  6. Step 6: Final answer
    x = 13,985.42

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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.