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Finding the Fourth Proportional to 32,406.66, 48,532.23 and 18,526.50

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Solution

The fourth proportional to 32,406.66, 48,532.23 and 18,526.50 is: 27,745.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,406.66 : 48,532.23 = 18,526.50 : x
  2. Step 2: Convert to fraction form
    32,406.66/48,532.23 = 18,526.50/x
  3. Step 3: Cross multiply
    32,406.66x = 48,532.23 × 18,526.50
  4. Step 4: Simplify right side
    32,406.66x = 899,132,359.10
  5. Step 5: Solve for x
    x = 899,132,359.10/32,406.66
  6. Step 6: Final answer
    x = 27,745.30

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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.