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Finding the Fourth Proportional to 65,234.72, 97,858.05 and 20,256.33

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Solution

The fourth proportional to 65,234.72, 97,858.05 and 20,256.33 is: 30,386.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,234.72 : 97,858.05 = 20,256.33 : x
  2. Step 2: Convert to fraction form
    65,234.72/97,858.05 = 20,256.33/x
  3. Step 3: Cross multiply
    65,234.72x = 97,858.05 × 20,256.33
  4. Step 4: Simplify right side
    65,234.72x = 1,982,244,751.48
  5. Step 5: Solve for x
    x = 1,982,244,751.48/65,234.72
  6. Step 6: Final answer
    x = 30,386.35

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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.