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Finding the Fourth Proportional to 70,174.16, 105,187.71 and 32,703.32

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Solution

The fourth proportional to 70,174.16, 105,187.71 and 32,703.32 is: 49,020.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,174.16 : 105,187.71 = 32,703.32 : x
  2. Step 2: Convert to fraction form
    70,174.16/105,187.71 = 32,703.32/x
  3. Step 3: Cross multiply
    70,174.16x = 105,187.71 × 32,703.32
  4. Step 4: Simplify right side
    70,174.16x = 3,439,987,340.20
  5. Step 5: Solve for x
    x = 3,439,987,340.20/70,174.16
  6. Step 6: Final answer
    x = 49,020.71

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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.