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Finding the Fourth Proportional to 102,658.56, 153,993.36 and 32,543.34

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Solution

The fourth proportional to 102,658.56, 153,993.36 and 32,543.34 is: 48,816.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,658.56 : 153,993.36 = 32,543.34 : x
  2. Step 2: Convert to fraction form
    102,658.56/153,993.36 = 32,543.34/x
  3. Step 3: Cross multiply
    102,658.56x = 153,993.36 × 32,543.34
  4. Step 4: Simplify right side
    102,658.56x = 5,011,458,272.22
  5. Step 5: Solve for x
    x = 5,011,458,272.22/102,658.56
  6. Step 6: Final answer
    x = 48,816.76

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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.