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Finding the Fourth Proportional to 32,454.34, 48,681.51 and 11,677.30

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Solution

The fourth proportional to 32,454.34, 48,681.51 and 11,677.30 is: 17,515.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,454.34 : 48,681.51 = 11,677.30 : x
  2. Step 2: Convert to fraction form
    32,454.34/48,681.51 = 11,677.30/x
  3. Step 3: Cross multiply
    32,454.34x = 48,681.51 × 11,677.30
  4. Step 4: Simplify right side
    32,454.34x = 568,468,596.72
  5. Step 5: Solve for x
    x = 568,468,596.72/32,454.34
  6. Step 6: Final answer
    x = 17,515.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.