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Finding the Fourth Proportional to 32,537.41, 48,801.79 and 9,165.67

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Solution

The fourth proportional to 32,537.41, 48,801.79 and 9,165.67 is: 13,747.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,537.41 : 48,801.79 = 9,165.67 : x
  2. Step 2: Convert to fraction form
    32,537.41/48,801.79 = 9,165.67/x
  3. Step 3: Cross multiply
    32,537.41x = 48,801.79 × 9,165.67
  4. Step 4: Simplify right side
    32,537.41x = 447,301,102.55
  5. Step 5: Solve for x
    x = 447,301,102.55/32,537.41
  6. Step 6: Final answer
    x = 13,747.29

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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.