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Finding the Fourth Proportional to 65,047.26, 89,767.26 and 36,754.77

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Solution

The fourth proportional to 65,047.26, 89,767.26 and 36,754.77 is: 50,722.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,047.26 : 89,767.26 = 36,754.77 : x
  2. Step 2: Convert to fraction form
    65,047.26/89,767.26 = 36,754.77/x
  3. Step 3: Cross multiply
    65,047.26x = 89,767.26 × 36,754.77
  4. Step 4: Simplify right side
    65,047.26x = 3,299,374,994.83
  5. Step 5: Solve for x
    x = 3,299,374,994.83/65,047.26
  6. Step 6: Final answer
    x = 50,722.74

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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.