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Finding the Fourth Proportional to 65,812.60, 90,821.05 and 35,597.83

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Solution

The fourth proportional to 65,812.60, 90,821.05 and 35,597.83 is: 49,124.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,812.60 : 90,821.05 = 35,597.83 : x
  2. Step 2: Convert to fraction form
    65,812.60/90,821.05 = 35,597.83/x
  3. Step 3: Cross multiply
    65,812.60x = 90,821.05 × 35,597.83
  4. Step 4: Simplify right side
    65,812.60x = 3,233,032,152.56
  5. Step 5: Solve for x
    x = 3,233,032,152.56/65,812.60
  6. Step 6: Final answer
    x = 49,124.82

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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.