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Finding the Fourth Proportional to 32,962.42, 49,444.99 and 9,588.85

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Solution

The fourth proportional to 32,962.42, 49,444.99 and 9,588.85 is: 14,383.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,962.42 : 49,444.99 = 9,588.85 : x
  2. Step 2: Convert to fraction form
    32,962.42/49,444.99 = 9,588.85/x
  3. Step 3: Cross multiply
    32,962.42x = 49,444.99 × 9,588.85
  4. Step 4: Simplify right side
    32,962.42x = 474,120,749.87
  5. Step 5: Solve for x
    x = 474,120,749.87/32,962.42
  6. Step 6: Final answer
    x = 14,383.68

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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.