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Finding the Fourth Proportional to 65,000.24, 89,699.64 and 36,704.24

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Solution

The fourth proportional to 65,000.24, 89,699.64 and 36,704.24 is: 50,651.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,000.24 : 89,699.64 = 36,704.24 : x
  2. Step 2: Convert to fraction form
    65,000.24/89,699.64 = 36,704.24/x
  3. Step 3: Cross multiply
    65,000.24x = 89,699.64 × 36,704.24
  4. Step 4: Simplify right side
    65,000.24x = 3,292,357,114.47
  5. Step 5: Solve for x
    x = 3,292,357,114.47/65,000.24
  6. Step 6: Final answer
    x = 50,651.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.