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Finding the Fourth Proportional to 65,837.92, 90,856.38 and 35,623.12

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Solution

The fourth proportional to 65,837.92, 90,856.38 and 35,623.12 is: 49,159.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,837.92 : 90,856.38 = 35,623.12 : x
  2. Step 2: Convert to fraction form
    65,837.92/90,856.38 = 35,623.12/x
  3. Step 3: Cross multiply
    65,837.92x = 90,856.38 × 35,623.12
  4. Step 4: Simplify right side
    65,837.92x = 3,236,587,727.51
  5. Step 5: Solve for x
    x = 3,236,587,727.51/65,837.92
  6. Step 6: Final answer
    x = 49,159.93

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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.