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Finding the Fourth Proportional to 35,369.89, 48,821.76 and 22,657.27

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Solution

The fourth proportional to 35,369.89, 48,821.76 and 22,657.27 is: 31,274.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,369.89 : 48,821.76 = 22,657.27 : x
  2. Step 2: Convert to fraction form
    35,369.89/48,821.76 = 22,657.27/x
  3. Step 3: Cross multiply
    35,369.89x = 48,821.76 × 22,657.27
  4. Step 4: Simplify right side
    35,369.89x = 1,106,167,798.20
  5. Step 5: Solve for x
    x = 1,106,167,798.20/35,369.89
  6. Step 6: Final answer
    x = 31,274.28

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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.