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Finding the Fourth Proportional to 32,497.91, 48,707.00 and 18,469.67

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Solution

The fourth proportional to 32,497.91, 48,707.00 and 18,469.67 is: 27,681.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,497.91 : 48,707.00 = 18,469.67 : x
  2. Step 2: Convert to fraction form
    32,497.91/48,707.00 = 18,469.67/x
  3. Step 3: Cross multiply
    32,497.91x = 48,707.00 × 18,469.67
  4. Step 4: Simplify right side
    32,497.91x = 899,602,172.10
  5. Step 5: Solve for x
    x = 899,602,172.10/32,497.91
  6. Step 6: Final answer
    x = 27,681.85

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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.