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Finding the Fourth Proportional to 65,669.50, 98,504.26 and 16,421.50

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Solution

The fourth proportional to 65,669.50, 98,504.26 and 16,421.50 is: 24,632.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,669.50 : 98,504.26 = 16,421.50 : x
  2. Step 2: Convert to fraction form
    65,669.50/98,504.26 = 16,421.50/x
  3. Step 3: Cross multiply
    65,669.50x = 98,504.26 × 16,421.50
  4. Step 4: Simplify right side
    65,669.50x = 1,617,587,705.59
  5. Step 5: Solve for x
    x = 1,617,587,705.59/65,669.50
  6. Step 6: Final answer
    x = 24,632.25

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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.