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Finding the Fourth Proportional to 65,254.69, 97,866.06 and 20,872.26

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Solution

The fourth proportional to 65,254.69, 97,866.06 and 20,872.26 is: 31,303.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,254.69 : 97,866.06 = 20,872.26 : x
  2. Step 2: Convert to fraction form
    65,254.69/97,866.06 = 20,872.26/x
  3. Step 3: Cross multiply
    65,254.69x = 97,866.06 × 20,872.26
  4. Step 4: Simplify right side
    65,254.69x = 2,042,685,849.50
  5. Step 5: Solve for x
    x = 2,042,685,849.50/65,254.69
  6. Step 6: Final answer
    x = 31,303.28

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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.