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Finding the Fourth Proportional to 66,224.50, 91,389.81 and 36,416.50

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Solution

The fourth proportional to 66,224.50, 91,389.81 and 36,416.50 is: 50,254.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,224.50 : 91,389.81 = 36,416.50 : x
  2. Step 2: Convert to fraction form
    66,224.50/91,389.81 = 36,416.50/x
  3. Step 3: Cross multiply
    66,224.50x = 91,389.81 × 36,416.50
  4. Step 4: Simplify right side
    66,224.50x = 3,328,097,015.87
  5. Step 5: Solve for x
    x = 3,328,097,015.87/66,224.50
  6. Step 6: Final answer
    x = 50,254.77

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1.5x scale

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.