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Finding the Fourth Proportional to 32,435.77, 48,624.37 and 11,654.41

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Solution

The fourth proportional to 32,435.77, 48,624.37 and 11,654.41 is: 17,471.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,435.77 : 48,624.37 = 11,654.41 : x
  2. Step 2: Convert to fraction form
    32,435.77/48,624.37 = 11,654.41/x
  3. Step 3: Cross multiply
    32,435.77x = 48,624.37 × 11,654.41
  4. Step 4: Simplify right side
    32,435.77x = 566,688,071.71
  5. Step 5: Solve for x
    x = 566,688,071.71/32,435.77
  6. Step 6: Final answer
    x = 17,471.09

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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.