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Finding the Fourth Proportional to 65,090.68, 89,826.66 and 36,798.04

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Solution

The fourth proportional to 65,090.68, 89,826.66 and 36,798.04 is: 50,782.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,090.68 : 89,826.66 = 36,798.04 : x
  2. Step 2: Convert to fraction form
    65,090.68/89,826.66 = 36,798.04/x
  3. Step 3: Cross multiply
    65,090.68x = 89,826.66 × 36,798.04
  4. Step 4: Simplify right side
    65,090.68x = 3,305,445,027.75
  5. Step 5: Solve for x
    x = 3,305,445,027.75/65,090.68
  6. Step 6: Final answer
    x = 50,782.16

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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.