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Finding the Fourth Proportional to 32,025.28, 48,038.62 and 8,333.76

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Solution

The fourth proportional to 32,025.28, 48,038.62 and 8,333.76 is: 12,500.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,025.28 : 48,038.62 = 8,333.76 : x
  2. Step 2: Convert to fraction form
    32,025.28/48,038.62 = 8,333.76/x
  3. Step 3: Cross multiply
    32,025.28x = 48,038.62 × 8,333.76
  4. Step 4: Simplify right side
    32,025.28x = 400,342,329.81
  5. Step 5: Solve for x
    x = 400,342,329.81/32,025.28
  6. Step 6: Final answer
    x = 12,500.82

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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.