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Finding the Fourth Proportional to 65,094.66, 89,826.40 and 36,409.36

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Solution

The fourth proportional to 65,094.66, 89,826.40 and 36,409.36 is: 50,242.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,094.66 : 89,826.40 = 36,409.36 : x
  2. Step 2: Convert to fraction form
    65,094.66/89,826.40 = 36,409.36/x
  3. Step 3: Cross multiply
    65,094.66x = 89,826.40 × 36,409.36
  4. Step 4: Simplify right side
    65,094.66x = 3,270,521,735.10
  5. Step 5: Solve for x
    x = 3,270,521,735.10/65,094.66
  6. Step 6: Final answer
    x = 50,242.55

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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.