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Finding the Fourth Proportional to 65,172.36, 97,753.68 and 20,194.07

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Solution

The fourth proportional to 65,172.36, 97,753.68 and 20,194.07 is: 30,289.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,172.36 : 97,753.68 = 20,194.07 : x
  2. Step 2: Convert to fraction form
    65,172.36/97,753.68 = 20,194.07/x
  3. Step 3: Cross multiply
    65,172.36x = 97,753.68 × 20,194.07
  4. Step 4: Simplify right side
    65,172.36x = 1,974,044,167.91
  5. Step 5: Solve for x
    x = 1,974,044,167.91/65,172.36
  6. Step 6: Final answer
    x = 30,289.59

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1.5x scale

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.