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Finding the Fourth Proportional to 65,673.83, 98,525.16 and 21,305.07

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Solution

The fourth proportional to 65,673.83, 98,525.16 and 21,305.07 is: 31,962.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,673.83 : 98,525.16 = 21,305.07 : x
  2. Step 2: Convert to fraction form
    65,673.83/98,525.16 = 21,305.07/x
  3. Step 3: Cross multiply
    65,673.83x = 98,525.16 × 21,305.07
  4. Step 4: Simplify right side
    65,673.83x = 2,099,085,430.56
  5. Step 5: Solve for x
    x = 2,099,085,430.56/65,673.83
  6. Step 6: Final answer
    x = 31,962.28

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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.