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Finding the Fourth Proportional to 32,932.40, 49,362.36 and 16,267.76

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Solution

The fourth proportional to 32,932.40, 49,362.36 and 16,267.76 is: 24,383.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,932.40 : 49,362.36 = 16,267.76 : x
  2. Step 2: Convert to fraction form
    32,932.40/49,362.36 = 16,267.76/x
  3. Step 3: Cross multiply
    32,932.40x = 49,362.36 × 16,267.76
  4. Step 4: Simplify right side
    32,932.40x = 803,015,025.51
  5. Step 5: Solve for x
    x = 803,015,025.51/32,932.40
  6. Step 6: Final answer
    x = 24,383.74

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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.