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Finding the Fourth Proportional to 32,152.32, 48,205.08 and 13,437.68

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Solution

The fourth proportional to 32,152.32, 48,205.08 and 13,437.68 is: 20,146.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,152.32 : 48,205.08 = 13,437.68 : x
  2. Step 2: Convert to fraction form
    32,152.32/48,205.08 = 13,437.68/x
  3. Step 3: Cross multiply
    32,152.32x = 48,205.08 × 13,437.68
  4. Step 4: Simplify right side
    32,152.32x = 647,764,439.41
  5. Step 5: Solve for x
    x = 647,764,439.41/32,152.32
  6. Step 6: Final answer
    x = 20,146.74

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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.