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Finding the Fourth Proportional to 35,682.84, 49,248 and 22,268.70

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Solution

The fourth proportional to 35,682.84, 49,248 and 22,268.70 is: 30,734.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,682.84 : 49,248 = 22,268.70 : x
  2. Step 2: Convert to fraction form
    35,682.84/49,248 = 22,268.70/x
  3. Step 3: Cross multiply
    35,682.84x = 49,248 × 22,268.70
  4. Step 4: Simplify right side
    35,682.84x = 1,096,688,937.60
  5. Step 5: Solve for x
    x = 1,096,688,937.60/35,682.84
  6. Step 6: Final answer
    x = 30,734.35

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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.