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Finding the Fourth Proportional to 52.36, 78.57 and 47.32

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Solution

The fourth proportional to 52.36, 78.57 and 47.32 is: 71.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.36 : 78.57 = 47.32 : x
  2. Step 2: Convert to fraction form
    52.36/78.57 = 47.32/x
  3. Step 3: Cross multiply
    52.36x = 78.57 × 47.32
  4. Step 4: Simplify right side
    52.36x = 3,717.93
  5. Step 5: Solve for x
    x = 3,717.93/52.36
  6. Step 6: Final answer
    x = 71.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.