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Finding the Fourth Proportional to 36,030.96, 49,689 and 22,597.92

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Solution

The fourth proportional to 36,030.96, 49,689 and 22,597.92 is: 31,163.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,030.96 : 49,689 = 22,597.92 : x
  2. Step 2: Convert to fraction form
    36,030.96/49,689 = 22,597.92/x
  3. Step 3: Cross multiply
    36,030.96x = 49,689 × 22,597.92
  4. Step 4: Simplify right side
    36,030.96x = 1,122,868,046.88
  5. Step 5: Solve for x
    x = 1,122,868,046.88/36,030.96
  6. Step 6: Final answer
    x = 31,163.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.