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Finding the Fourth Proportional to 32,316.32, 48,474.60 and 9,827.24

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Solution

The fourth proportional to 32,316.32, 48,474.60 and 9,827.24 is: 14,740.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,316.32 : 48,474.60 = 9,827.24 : x
  2. Step 2: Convert to fraction form
    32,316.32/48,474.60 = 9,827.24/x
  3. Step 3: Cross multiply
    32,316.32x = 48,474.60 × 9,827.24
  4. Step 4: Simplify right side
    32,316.32x = 476,371,576.83
  5. Step 5: Solve for x
    x = 476,371,576.83/32,316.32
  6. Step 6: Final answer
    x = 14,740.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.