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Finding the Fourth Proportional to 32,656.42, 48,981 and 8,965.76

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Solution

The fourth proportional to 32,656.42, 48,981 and 8,965.76 is: 13,447.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,656.42 : 48,981 = 8,965.76 : x
  2. Step 2: Convert to fraction form
    32,656.42/48,981 = 8,965.76/x
  3. Step 3: Cross multiply
    32,656.42x = 48,981 × 8,965.76
  4. Step 4: Simplify right side
    32,656.42x = 439,151,890.56
  5. Step 5: Solve for x
    x = 439,151,890.56/32,656.42
  6. Step 6: Final answer
    x = 13,447.65

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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.