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Finding the Fourth Proportional to 32,576.40, 48,871.77 and 18,543.03

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Solution

The fourth proportional to 32,576.40, 48,871.77 and 18,543.03 is: 27,818.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,576.40 : 48,871.77 = 18,543.03 : x
  2. Step 2: Convert to fraction form
    32,576.40/48,871.77 = 18,543.03/x
  3. Step 3: Cross multiply
    32,576.40x = 48,871.77 × 18,543.03
  4. Step 4: Simplify right side
    32,576.40x = 906,230,697.26
  5. Step 5: Solve for x
    x = 906,230,697.26/32,576.40
  6. Step 6: Final answer
    x = 27,818.63

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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.