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Finding the Fourth Proportional to 32,308.67, 48,443.15 and 12,564.21

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Solution

The fourth proportional to 32,308.67, 48,443.15 and 12,564.21 is: 18,838.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,308.67 : 48,443.15 = 12,564.21 : x
  2. Step 2: Convert to fraction form
    32,308.67/48,443.15 = 12,564.21/x
  3. Step 3: Cross multiply
    32,308.67x = 48,443.15 × 12,564.21
  4. Step 4: Simplify right side
    32,308.67x = 608,649,909.66
  5. Step 5: Solve for x
    x = 608,649,909.66/32,308.67
  6. Step 6: Final answer
    x = 18,838.59

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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.