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Finding the Fourth Proportional to 101,561.90, 152,367.44 and 30,484.40

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Solution

The fourth proportional to 101,561.90, 152,367.44 and 30,484.40 is: 45,733.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,561.90 : 152,367.44 = 30,484.40 : x
  2. Step 2: Convert to fraction form
    101,561.90/152,367.44 = 30,484.40/x
  3. Step 3: Cross multiply
    101,561.90x = 152,367.44 × 30,484.40
  4. Step 4: Simplify right side
    101,561.90x = 4,644,829,073.68
  5. Step 5: Solve for x
    x = 4,644,829,073.68/101,561.90
  6. Step 6: Final answer
    x = 45,733.97

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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.