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Finding the Fourth Proportional to 65,806.19, 90,812.27 and 35,591.54

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Solution

The fourth proportional to 65,806.19, 90,812.27 and 35,591.54 is: 49,116.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,806.19 : 90,812.27 = 35,591.54 : x
  2. Step 2: Convert to fraction form
    65,806.19/90,812.27 = 35,591.54/x
  3. Step 3: Cross multiply
    65,806.19x = 90,812.27 × 35,591.54
  4. Step 4: Simplify right side
    65,806.19x = 3,232,148,362.24
  5. Step 5: Solve for x
    x = 3,232,148,362.24/65,806.19
  6. Step 6: Final answer
    x = 49,116.18

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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.