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Finding the Fourth Proportional to 36,537, 50,421.06 and 19,770

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Solution

The fourth proportional to 36,537, 50,421.06 and 19,770 is: 27,282.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,537 : 50,421.06 = 19,770 : x
  2. Step 2: Convert to fraction form
    36,537/50,421.06 = 19,770/x
  3. Step 3: Cross multiply
    36,537x = 50,421.06 × 19,770
  4. Step 4: Simplify right side
    36,537x = 996,824,356.20
  5. Step 5: Solve for x
    x = 996,824,356.20/36,537
  6. Step 6: Final answer
    x = 27,282.60

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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.