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Finding the Fourth Proportional to 65,234.88, 97,878.24 and 23,685.12

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Solution

The fourth proportional to 65,234.88, 97,878.24 and 23,685.12 is: 35,537.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,234.88 : 97,878.24 = 23,685.12 : x
  2. Step 2: Convert to fraction form
    65,234.88/97,878.24 = 23,685.12/x
  3. Step 3: Cross multiply
    65,234.88x = 97,878.24 × 23,685.12
  4. Step 4: Simplify right side
    65,234.88x = 2,318,257,859.79
  5. Step 5: Solve for x
    x = 2,318,257,859.79/65,234.88
  6. Step 6: Final answer
    x = 35,537.09

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1.5x scale

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.