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Finding the Fourth Proportional to 70,518.72, 105,778.41 and 23,772

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Solution

The fourth proportional to 70,518.72, 105,778.41 and 23,772 is: 35,658.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,518.72 : 105,778.41 = 23,772 : x
  2. Step 2: Convert to fraction form
    70,518.72/105,778.41 = 23,772/x
  3. Step 3: Cross multiply
    70,518.72x = 105,778.41 × 23,772
  4. Step 4: Simplify right side
    70,518.72x = 2,514,564,362.52
  5. Step 5: Solve for x
    x = 2,514,564,362.52/70,518.72
  6. Step 6: Final answer
    x = 35,658.11

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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.