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Finding the Fourth Proportional to 32,599.17, 48,898.23 and 10,412.40

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Solution

The fourth proportional to 32,599.17, 48,898.23 and 10,412.40 is: 15,618.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,599.17 : 48,898.23 = 10,412.40 : x
  2. Step 2: Convert to fraction form
    32,599.17/48,898.23 = 10,412.40/x
  3. Step 3: Cross multiply
    32,599.17x = 48,898.23 × 10,412.40
  4. Step 4: Simplify right side
    32,599.17x = 509,147,930.05
  5. Step 5: Solve for x
    x = 509,147,930.05/32,599.17
  6. Step 6: Final answer
    x = 15,618.43

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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.