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Finding the Fourth Proportional to 32,047.80, 48,076.32 and 9,863.04

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Solution

The fourth proportional to 32,047.80, 48,076.32 and 9,863.04 is: 14,795.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,047.80 : 48,076.32 = 9,863.04 : x
  2. Step 2: Convert to fraction form
    32,047.80/48,076.32 = 9,863.04/x
  3. Step 3: Cross multiply
    32,047.80x = 48,076.32 × 9,863.04
  4. Step 4: Simplify right side
    32,047.80x = 474,178,667.21
  5. Step 5: Solve for x
    x = 474,178,667.21/32,047.80
  6. Step 6: Final answer
    x = 14,795.98

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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.