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Finding the Fourth Proportional to 65,233.37, 97,862.34 and 20,848.20

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Solution

The fourth proportional to 65,233.37, 97,862.34 and 20,848.20 is: 31,276.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,233.37 : 97,862.34 = 20,848.20 : x
  2. Step 2: Convert to fraction form
    65,233.37/97,862.34 = 20,848.20/x
  3. Step 3: Cross multiply
    65,233.37x = 97,862.34 × 20,848.20
  4. Step 4: Simplify right side
    65,233.37x = 2,040,253,636.79
  5. Step 5: Solve for x
    x = 2,040,253,636.79/65,233.37
  6. Step 6: Final answer
    x = 31,276.23

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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.