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Finding the Fourth Proportional to 32,031.52, 48,048.36 and 8,658.16

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Solution

The fourth proportional to 32,031.52, 48,048.36 and 8,658.16 is: 12,987.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,031.52 : 48,048.36 = 8,658.16 : x
  2. Step 2: Convert to fraction form
    32,031.52/48,048.36 = 8,658.16/x
  3. Step 3: Cross multiply
    32,031.52x = 48,048.36 × 8,658.16
  4. Step 4: Simplify right side
    32,031.52x = 416,010,388.62
  5. Step 5: Solve for x
    x = 416,010,388.62/32,031.52
  6. Step 6: Final answer
    x = 12,987.53

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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.