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Finding the Fourth Proportional to 40,537, 55,941.06 and 22,873

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Solution

The fourth proportional to 40,537, 55,941.06 and 22,873 is: 31,564.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,537 : 55,941.06 = 22,873 : x
  2. Step 2: Convert to fraction form
    40,537/55,941.06 = 22,873/x
  3. Step 3: Cross multiply
    40,537x = 55,941.06 × 22,873
  4. Step 4: Simplify right side
    40,537x = 1,279,539,865.38
  5. Step 5: Solve for x
    x = 1,279,539,865.38/40,537
  6. Step 6: Final answer
    x = 31,564.74

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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.