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Finding the Fourth Proportional to 32,048.34, 48,078.89 and 9,860.87

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Solution

The fourth proportional to 32,048.34, 48,078.89 and 9,860.87 is: 14,793.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,048.34 : 48,078.89 = 9,860.87 : x
  2. Step 2: Convert to fraction form
    32,048.34/48,078.89 = 9,860.87/x
  3. Step 3: Cross multiply
    32,048.34x = 48,078.89 × 9,860.87
  4. Step 4: Simplify right side
    32,048.34x = 474,099,394.34
  5. Step 5: Solve for x
    x = 474,099,394.34/32,048.34
  6. Step 6: Final answer
    x = 14,793.26

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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.