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Finding the Fourth Proportional to 65,095.92, 89,828.12 and 36,410.61

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Solution

The fourth proportional to 65,095.92, 89,828.12 and 36,410.61 is: 50,244.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,095.92 : 89,828.12 = 36,410.61 : x
  2. Step 2: Convert to fraction form
    65,095.92/89,828.12 = 36,410.61/x
  3. Step 3: Cross multiply
    65,095.92x = 89,828.12 × 36,410.61
  4. Step 4: Simplify right side
    65,095.92x = 3,270,696,644.35
  5. Step 5: Solve for x
    x = 3,270,696,644.35/65,095.92
  6. Step 6: Final answer
    x = 50,244.26

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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.