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Finding the Fourth Proportional to 39,537, 54,562.68 and 22,770

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Solution

The fourth proportional to 39,537, 54,562.68 and 22,770 is: 31,423.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,537 : 54,562.68 = 22,770 : x
  2. Step 2: Convert to fraction form
    39,537/54,562.68 = 22,770/x
  3. Step 3: Cross multiply
    39,537x = 54,562.68 × 22,770
  4. Step 4: Simplify right side
    39,537x = 1,242,392,223.60
  5. Step 5: Solve for x
    x = 1,242,392,223.60/39,537
  6. Step 6: Final answer
    x = 31,423.53

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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.