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Finding the Fourth Proportional to 36,536.84, 50,404.38 and 21,430.40

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Solution

The fourth proportional to 36,536.84, 50,404.38 and 21,430.40 is: 29,564.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,536.84 : 50,404.38 = 21,430.40 : x
  2. Step 2: Convert to fraction form
    36,536.84/50,404.38 = 21,430.40/x
  3. Step 3: Cross multiply
    36,536.84x = 50,404.38 × 21,430.40
  4. Step 4: Simplify right side
    36,536.84x = 1,080,186,025.15
  5. Step 5: Solve for x
    x = 1,080,186,025.15/36,536.84
  6. Step 6: Final answer
    x = 29,564.30

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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.