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Finding the Fourth Proportional to 32,447.76, 48,671.74 and 9,074.40

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Solution

The fourth proportional to 32,447.76, 48,671.74 and 9,074.40 is: 13,611.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,447.76 : 48,671.74 = 9,074.40 : x
  2. Step 2: Convert to fraction form
    32,447.76/48,671.74 = 9,074.40/x
  3. Step 3: Cross multiply
    32,447.76x = 48,671.74 × 9,074.40
  4. Step 4: Simplify right side
    32,447.76x = 441,666,837.46
  5. Step 5: Solve for x
    x = 441,666,837.46/32,447.76
  6. Step 6: Final answer
    x = 13,611.63

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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.