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Finding the Fourth Proportional to 65,000.56, 97,345 and 35,344.84

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Solution

The fourth proportional to 65,000.56, 97,345 and 35,344.84 is: 52,932.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,000.56 : 97,345 = 35,344.84 : x
  2. Step 2: Convert to fraction form
    65,000.56/97,345 = 35,344.84/x
  3. Step 3: Cross multiply
    65,000.56x = 97,345 × 35,344.84
  4. Step 4: Simplify right side
    65,000.56x = 3,440,643,449.80
  5. Step 5: Solve for x
    x = 3,440,643,449.80/65,000.56
  6. Step 6: Final answer
    x = 52,932.52

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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.