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Finding the Fourth Proportional to 32,697.09, 49,046.10 and 9,323.54

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Solution

The fourth proportional to 32,697.09, 49,046.10 and 9,323.54 is: 13,985.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,697.09 : 49,046.10 = 9,323.54 : x
  2. Step 2: Convert to fraction form
    32,697.09/49,046.10 = 9,323.54/x
  3. Step 3: Cross multiply
    32,697.09x = 49,046.10 × 9,323.54
  4. Step 4: Simplify right side
    32,697.09x = 457,283,029.96
  5. Step 5: Solve for x
    x = 457,283,029.96/32,697.09
  6. Step 6: Final answer
    x = 13,985.44

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1.5x scale

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.