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Finding the Fourth Proportional to 32,429.50, 48,645.75 and 9,938.58

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Solution

The fourth proportional to 32,429.50, 48,645.75 and 9,938.58 is: 14,908.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,429.50 : 48,645.75 = 9,938.58 : x
  2. Step 2: Convert to fraction form
    32,429.50/48,645.75 = 9,938.58/x
  3. Step 3: Cross multiply
    32,429.50x = 48,645.75 × 9,938.58
  4. Step 4: Simplify right side
    32,429.50x = 483,469,678.04
  5. Step 5: Solve for x
    x = 483,469,678.04/32,429.50
  6. Step 6: Final answer
    x = 14,908.33

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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.