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Finding the Fourth Proportional to 43,023, 64,536.94 and 15,321

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Solution

The fourth proportional to 43,023, 64,536.94 and 15,321 is: 22,982.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,023 : 64,536.94 = 15,321 : x
  2. Step 2: Convert to fraction form
    43,023/64,536.94 = 15,321/x
  3. Step 3: Cross multiply
    43,023x = 64,536.94 × 15,321
  4. Step 4: Simplify right side
    43,023x = 988,770,457.74
  5. Step 5: Solve for x
    x = 988,770,457.74/43,023
  6. Step 6: Final answer
    x = 22,982.37

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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.