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Finding the Fourth Proportional to 65,097.75, 89,835.03 and 36,802.83

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Solution

The fourth proportional to 65,097.75, 89,835.03 and 36,802.83 is: 50,787.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,097.75 : 89,835.03 = 36,802.83 : x
  2. Step 2: Convert to fraction form
    65,097.75/89,835.03 = 36,802.83/x
  3. Step 3: Cross multiply
    65,097.75x = 89,835.03 × 36,802.83
  4. Step 4: Simplify right side
    65,097.75x = 3,306,183,337.13
  5. Step 5: Solve for x
    x = 3,306,183,337.13/65,097.75
  6. Step 6: Final answer
    x = 50,787.98

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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.