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Finding the Fourth Proportional to 65,092.60, 89,823.55 and 36,407.29

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Solution

The fourth proportional to 65,092.60, 89,823.55 and 36,407.29 is: 50,239.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,092.60 : 89,823.55 = 36,407.29 : x
  2. Step 2: Convert to fraction form
    65,092.60/89,823.55 = 36,407.29/x
  3. Step 3: Cross multiply
    65,092.60x = 89,823.55 × 36,407.29
  4. Step 4: Simplify right side
    65,092.60x = 3,270,232,309.81
  5. Step 5: Solve for x
    x = 3,270,232,309.81/65,092.60
  6. Step 6: Final answer
    x = 50,239.69

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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.