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Finding the Fourth Proportional to 65,733.92, 90,712.78 and 37,442.24

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Solution

The fourth proportional to 65,733.92, 90,712.78 and 37,442.24 is: 51,670.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,733.92 : 90,712.78 = 37,442.24 : x
  2. Step 2: Convert to fraction form
    65,733.92/90,712.78 = 37,442.24/x
  3. Step 3: Cross multiply
    65,733.92x = 90,712.78 × 37,442.24
  4. Step 4: Simplify right side
    65,733.92x = 3,396,489,679.83
  5. Step 5: Solve for x
    x = 3,396,489,679.83/65,733.92
  6. Step 6: Final answer
    x = 51,670.27

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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.