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Finding the Fourth Proportional to 32,308.46, 48,444.46 and 12,564.40

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Solution

The fourth proportional to 32,308.46, 48,444.46 and 12,564.40 is: 18,839.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,308.46 : 48,444.46 = 12,564.40 : x
  2. Step 2: Convert to fraction form
    32,308.46/48,444.46 = 12,564.40/x
  3. Step 3: Cross multiply
    32,308.46x = 48,444.46 × 12,564.40
  4. Step 4: Simplify right side
    32,308.46x = 608,675,573.22
  5. Step 5: Solve for x
    x = 608,675,573.22/32,308.46
  6. Step 6: Final answer
    x = 18,839.51

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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.