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Finding the Fourth Proportional to 36,302.64, 49,993.92 and 32,686.80

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Solution

The fourth proportional to 36,302.64, 49,993.92 and 32,686.80 is: 45,014.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,302.64 : 49,993.92 = 32,686.80 : x
  2. Step 2: Convert to fraction form
    36,302.64/49,993.92 = 32,686.80/x
  3. Step 3: Cross multiply
    36,302.64x = 49,993.92 × 32,686.80
  4. Step 4: Simplify right side
    36,302.64x = 1,634,141,264.26
  5. Step 5: Solve for x
    x = 1,634,141,264.26/36,302.64
  6. Step 6: Final answer
    x = 45,014.39

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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.