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Finding the Fourth Proportional to 32,002.79, 48,002.37 and 9,816.11

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Solution

The fourth proportional to 32,002.79, 48,002.37 and 9,816.11 is: 14,723.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,002.79 : 48,002.37 = 9,816.11 : x
  2. Step 2: Convert to fraction form
    32,002.79/48,002.37 = 9,816.11/x
  3. Step 3: Cross multiply
    32,002.79x = 48,002.37 × 9,816.11
  4. Step 4: Simplify right side
    32,002.79x = 471,196,304.17
  5. Step 5: Solve for x
    x = 471,196,304.17/32,002.79
  6. Step 6: Final answer
    x = 14,723.60

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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.