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Finding the Fourth Proportional to 65,754.96, 98,554.14 and 37,694.40

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Solution

The fourth proportional to 65,754.96, 98,554.14 and 37,694.40 is: 56,496.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,754.96 : 98,554.14 = 37,694.40 : x
  2. Step 2: Convert to fraction form
    65,754.96/98,554.14 = 37,694.40/x
  3. Step 3: Cross multiply
    65,754.96x = 98,554.14 × 37,694.40
  4. Step 4: Simplify right side
    65,754.96x = 3,714,939,174.82
  5. Step 5: Solve for x
    x = 3,714,939,174.82/65,754.96
  6. Step 6: Final answer
    x = 56,496.71

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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.