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Finding the Fourth Proportional to 35,684.96, 49,222.41 and 22,933.81

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Solution

The fourth proportional to 35,684.96, 49,222.41 and 22,933.81 is: 31,633.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,684.96 : 49,222.41 = 22,933.81 : x
  2. Step 2: Convert to fraction form
    35,684.96/49,222.41 = 22,933.81/x
  3. Step 3: Cross multiply
    35,684.96x = 49,222.41 × 22,933.81
  4. Step 4: Simplify right side
    35,684.96x = 1,128,857,152.57
  5. Step 5: Solve for x
    x = 1,128,857,152.57/35,684.96
  6. Step 6: Final answer
    x = 31,633.98

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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.