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Finding the Fourth Proportional to 32,148.47, 48,220.85 and 9,658.67

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Solution

The fourth proportional to 32,148.47, 48,220.85 and 9,658.67 is: 14,487.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,148.47 : 48,220.85 = 9,658.67 : x
  2. Step 2: Convert to fraction form
    32,148.47/48,220.85 = 9,658.67/x
  3. Step 3: Cross multiply
    32,148.47x = 48,220.85 × 9,658.67
  4. Step 4: Simplify right side
    32,148.47x = 465,749,060.31
  5. Step 5: Solve for x
    x = 465,749,060.31/32,148.47
  6. Step 6: Final answer
    x = 14,487.44

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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.