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Finding the Fourth Proportional to 35,897.94, 49,474.56 and 29,205.72

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Solution

The fourth proportional to 35,897.94, 49,474.56 and 29,205.72 is: 40,251.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,897.94 : 49,474.56 = 29,205.72 : x
  2. Step 2: Convert to fraction form
    35,897.94/49,474.56 = 29,205.72/x
  3. Step 3: Cross multiply
    35,897.94x = 49,474.56 × 29,205.72
  4. Step 4: Simplify right side
    35,897.94x = 1,444,940,146.48
  5. Step 5: Solve for x
    x = 1,444,940,146.48/35,897.94
  6. Step 6: Final answer
    x = 40,251.34

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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.