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Finding the Fourth Proportional to 32,506.07, 48,760.80 and 10,321.19

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Solution

The fourth proportional to 32,506.07, 48,760.80 and 10,321.19 is: 15,482.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,506.07 : 48,760.80 = 10,321.19 : x
  2. Step 2: Convert to fraction form
    32,506.07/48,760.80 = 10,321.19/x
  3. Step 3: Cross multiply
    32,506.07x = 48,760.80 × 10,321.19
  4. Step 4: Simplify right side
    32,506.07x = 503,269,185.94
  5. Step 5: Solve for x
    x = 503,269,185.94/32,506.07
  6. Step 6: Final answer
    x = 15,482.31

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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.