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Finding the Fourth Proportional to 65,219.32, 97,824.20 and 20,834.16

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Solution

The fourth proportional to 65,219.32, 97,824.20 and 20,834.16 is: 31,249.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,219.32 : 97,824.20 = 20,834.16 : x
  2. Step 2: Convert to fraction form
    65,219.32/97,824.20 = 20,834.16/x
  3. Step 3: Cross multiply
    65,219.32x = 97,824.20 × 20,834.16
  4. Step 4: Simplify right side
    65,219.32x = 2,038,084,602.72
  5. Step 5: Solve for x
    x = 2,038,084,602.72/65,219.32
  6. Step 6: Final answer
    x = 31,249.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.