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Finding the Fourth Proportional to 65,095.61, 89,827.69 and 36,410.30

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Solution

The fourth proportional to 65,095.61, 89,827.69 and 36,410.30 is: 50,243.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,095.61 : 89,827.69 = 36,410.30 : x
  2. Step 2: Convert to fraction form
    65,095.61/89,827.69 = 36,410.30/x
  3. Step 3: Cross multiply
    65,095.61x = 89,827.69 × 36,410.30
  4. Step 4: Simplify right side
    65,095.61x = 3,270,652,601.04
  5. Step 5: Solve for x
    x = 3,270,652,601.04/65,095.61
  6. Step 6: Final answer
    x = 50,243.83

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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.