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Finding the Fourth Proportional to 32,611.76, 48,893.70 and 10,412.36

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Solution

The fourth proportional to 32,611.76, 48,893.70 and 10,412.36 is: 15,610.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,611.76 : 48,893.70 = 10,412.36 : x
  2. Step 2: Convert to fraction form
    32,611.76/48,893.70 = 10,412.36/x
  3. Step 3: Cross multiply
    32,611.76x = 48,893.70 × 10,412.36
  4. Step 4: Simplify right side
    32,611.76x = 509,098,806.13
  5. Step 5: Solve for x
    x = 509,098,806.13/32,611.76
  6. Step 6: Final answer
    x = 15,610.90

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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.