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Finding the Fourth Proportional to 32,580.33, 48,869.83 and 10,393.41

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Solution

The fourth proportional to 32,580.33, 48,869.83 and 10,393.41 is: 15,589.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,580.33 : 48,869.83 = 10,393.41 : x
  2. Step 2: Convert to fraction form
    32,580.33/48,869.83 = 10,393.41/x
  3. Step 3: Cross multiply
    32,580.33x = 48,869.83 × 10,393.41
  4. Step 4: Simplify right side
    32,580.33x = 507,924,376.07
  5. Step 5: Solve for x
    x = 507,924,376.07/32,580.33
  6. Step 6: Final answer
    x = 15,589.91

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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.