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Finding the Fourth Proportional to 47.47, 70.86 and 36.01

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Solution

The fourth proportional to 47.47, 70.86 and 36.01 is: 53.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.47 : 70.86 = 36.01 : x
  2. Step 2: Convert to fraction form
    47.47/70.86 = 36.01/x
  3. Step 3: Cross multiply
    47.47x = 70.86 × 36.01
  4. Step 4: Simplify right side
    47.47x = 2,551.54
  5. Step 5: Solve for x
    x = 2,551.54/47.47
  6. Step 6: Final answer
    x = 53.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.