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Finding the Fourth Proportional to 43,967.12, 65,921.40 and 22,855.28

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Solution

The fourth proportional to 43,967.12, 65,921.40 and 22,855.28 is: 34,267.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,967.12 : 65,921.40 = 22,855.28 : x
  2. Step 2: Convert to fraction form
    43,967.12/65,921.40 = 22,855.28/x
  3. Step 3: Cross multiply
    43,967.12x = 65,921.40 × 22,855.28
  4. Step 4: Simplify right side
    43,967.12x = 1,506,652,054.99
  5. Step 5: Solve for x
    x = 1,506,652,054.99/43,967.12
  6. Step 6: Final answer
    x = 34,267.70

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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.