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Finding the Fourth Proportional to 65,674.10, 98,523.30 and 21,302.30

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Solution

The fourth proportional to 65,674.10, 98,523.30 and 21,302.30 is: 31,957.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,674.10 : 98,523.30 = 21,302.30 : x
  2. Step 2: Convert to fraction form
    65,674.10/98,523.30 = 21,302.30/x
  3. Step 3: Cross multiply
    65,674.10x = 98,523.30 × 21,302.30
  4. Step 4: Simplify right side
    65,674.10x = 2,098,772,893.59
  5. Step 5: Solve for x
    x = 2,098,772,893.59/65,674.10
  6. Step 6: Final answer
    x = 31,957.39

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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.