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Finding the Fourth Proportional to 65,263.66, 97,847.60 and 20,864.86

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Solution

The fourth proportional to 65,263.66, 97,847.60 and 20,864.86 is: 31,281.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,263.66 : 97,847.60 = 20,864.86 : x
  2. Step 2: Convert to fraction form
    65,263.66/97,847.60 = 20,864.86/x
  3. Step 3: Cross multiply
    65,263.66x = 97,847.60 × 20,864.86
  4. Step 4: Simplify right side
    65,263.66x = 2,041,576,282.88
  5. Step 5: Solve for x
    x = 2,041,576,282.88/65,263.66
  6. Step 6: Final answer
    x = 31,281.98

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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.