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Finding the Fourth Proportional to 32,031.21, 48,048.03 and 8,657.66

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Solution

The fourth proportional to 32,031.21, 48,048.03 and 8,657.66 is: 12,986.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,031.21 : 48,048.03 = 8,657.66 : x
  2. Step 2: Convert to fraction form
    32,031.21/48,048.03 = 8,657.66/x
  3. Step 3: Cross multiply
    32,031.21x = 48,048.03 × 8,657.66
  4. Step 4: Simplify right side
    32,031.21x = 415,983,267.17
  5. Step 5: Solve for x
    x = 415,983,267.17/32,031.21
  6. Step 6: Final answer
    x = 12,986.81

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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.