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Finding the Fourth Proportional to 65,194.66, 97,807.25 and 20,213.65

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Solution

The fourth proportional to 65,194.66, 97,807.25 and 20,213.65 is: 30,325.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,194.66 : 97,807.25 = 20,213.65 : x
  2. Step 2: Convert to fraction form
    65,194.66/97,807.25 = 20,213.65/x
  3. Step 3: Cross multiply
    65,194.66x = 97,807.25 × 20,213.65
  4. Step 4: Simplify right side
    65,194.66x = 1,977,041,518.96
  5. Step 5: Solve for x
    x = 1,977,041,518.96/65,194.66
  6. Step 6: Final answer
    x = 30,325.21

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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.