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Finding the Fourth Proportional to 32,405.23, 48,611.90 and 12,681.24

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Solution

The fourth proportional to 32,405.23, 48,611.90 and 12,681.24 is: 19,023.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,405.23 : 48,611.90 = 12,681.24 : x
  2. Step 2: Convert to fraction form
    32,405.23/48,611.90 = 12,681.24/x
  3. Step 3: Cross multiply
    32,405.23x = 48,611.90 × 12,681.24
  4. Step 4: Simplify right side
    32,405.23x = 616,459,170.76
  5. Step 5: Solve for x
    x = 616,459,170.76/32,405.23
  6. Step 6: Final answer
    x = 19,023.45

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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.