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Finding the Fourth Proportional to 35,838.80, 49,458.16 and 19,706.80

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Solution

The fourth proportional to 35,838.80, 49,458.16 and 19,706.80 is: 27,195.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,838.80 : 49,458.16 = 19,706.80 : x
  2. Step 2: Convert to fraction form
    35,838.80/49,458.16 = 19,706.80/x
  3. Step 3: Cross multiply
    35,838.80x = 49,458.16 × 19,706.80
  4. Step 4: Simplify right side
    35,838.80x = 974,662,067.49
  5. Step 5: Solve for x
    x = 974,662,067.49/35,838.80
  6. Step 6: Final answer
    x = 27,195.72

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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.