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Finding the Fourth Proportional to 65,431.70, 98,126.74 and 21,048.12

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Solution

The fourth proportional to 65,431.70, 98,126.74 and 21,048.12 is: 31,565.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,431.70 : 98,126.74 = 21,048.12 : x
  2. Step 2: Convert to fraction form
    65,431.70/98,126.74 = 21,048.12/x
  3. Step 3: Cross multiply
    65,431.70x = 98,126.74 × 21,048.12
  4. Step 4: Simplify right side
    65,431.70x = 2,065,383,425.04
  5. Step 5: Solve for x
    x = 2,065,383,425.04/65,431.70
  6. Step 6: Final answer
    x = 31,565.49

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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.