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Finding the Fourth Proportional to 65,022.80, 97,534.20 and 56,469.20

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Solution

The fourth proportional to 65,022.80, 97,534.20 and 56,469.20 is: 84,703.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,022.80 : 97,534.20 = 56,469.20 : x
  2. Step 2: Convert to fraction form
    65,022.80/97,534.20 = 56,469.20/x
  3. Step 3: Cross multiply
    65,022.80x = 97,534.20 × 56,469.20
  4. Step 4: Simplify right side
    65,022.80x = 5,507,678,246.64
  5. Step 5: Solve for x
    x = 5,507,678,246.64/65,022.80
  6. Step 6: Final answer
    x = 84,703.80

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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.