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Finding the Fourth Proportional to 32,594.82, 48,861.02 and 10,395.96

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Solution

The fourth proportional to 32,594.82, 48,861.02 and 10,395.96 is: 15,583.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,594.82 : 48,861.02 = 10,395.96 : x
  2. Step 2: Convert to fraction form
    32,594.82/48,861.02 = 10,395.96/x
  3. Step 3: Cross multiply
    32,594.82x = 48,861.02 × 10,395.96
  4. Step 4: Simplify right side
    32,594.82x = 507,957,209.48
  5. Step 5: Solve for x
    x = 507,957,209.48/32,594.82
  6. Step 6: Final answer
    x = 15,583.99

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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.