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Finding the Fourth Proportional to 32,647.59, 48,969.68 and 8,953.40

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Solution

The fourth proportional to 32,647.59, 48,969.68 and 8,953.40 is: 13,429.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,647.59 : 48,969.68 = 8,953.40 : x
  2. Step 2: Convert to fraction form
    32,647.59/48,969.68 = 8,953.40/x
  3. Step 3: Cross multiply
    32,647.59x = 48,969.68 × 8,953.40
  4. Step 4: Simplify right side
    32,647.59x = 438,444,843.30
  5. Step 5: Solve for x
    x = 438,444,843.30/32,647.59
  6. Step 6: Final answer
    x = 13,429.62

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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.