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Finding the Fourth Proportional to 32,023.30, 48,006.15 and 20,935.30

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Solution

The fourth proportional to 32,023.30, 48,006.15 and 20,935.30 is: 31,384.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,023.30 : 48,006.15 = 20,935.30 : x
  2. Step 2: Convert to fraction form
    32,023.30/48,006.15 = 20,935.30/x
  3. Step 3: Cross multiply
    32,023.30x = 48,006.15 × 20,935.30
  4. Step 4: Simplify right side
    32,023.30x = 1,005,023,152.10
  5. Step 5: Solve for x
    x = 1,005,023,152.10/32,023.30
  6. Step 6: Final answer
    x = 31,384.12

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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.