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Finding the Fourth Proportional to 35,613.76, 49,146 and 19,698.88

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Solution

The fourth proportional to 35,613.76, 49,146 and 19,698.88 is: 27,183.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,613.76 : 49,146 = 19,698.88 : x
  2. Step 2: Convert to fraction form
    35,613.76/49,146 = 19,698.88/x
  3. Step 3: Cross multiply
    35,613.76x = 49,146 × 19,698.88
  4. Step 4: Simplify right side
    35,613.76x = 968,121,156.48
  5. Step 5: Solve for x
    x = 968,121,156.48/35,613.76
  6. Step 6: Final answer
    x = 27,183.91

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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.