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Finding the Fourth Proportional to 101,669.94, 152,524.10 and 38,508.98

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Solution

The fourth proportional to 101,669.94, 152,524.10 and 38,508.98 is: 57,770.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,669.94 : 152,524.10 = 38,508.98 : x
  2. Step 2: Convert to fraction form
    101,669.94/152,524.10 = 38,508.98/x
  3. Step 3: Cross multiply
    101,669.94x = 152,524.10 × 38,508.98
  4. Step 4: Simplify right side
    101,669.94x = 5,873,547,516.42
  5. Step 5: Solve for x
    x = 5,873,547,516.42/101,669.94
  6. Step 6: Final answer
    x = 57,770.74

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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.