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Finding the Fourth Proportional to 35,883.50, 49,518.18 and 19,967.60

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Solution

The fourth proportional to 35,883.50, 49,518.18 and 19,967.60 is: 27,554.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,883.50 : 49,518.18 = 19,967.60 : x
  2. Step 2: Convert to fraction form
    35,883.50/49,518.18 = 19,967.60/x
  3. Step 3: Cross multiply
    35,883.50x = 49,518.18 × 19,967.60
  4. Step 4: Simplify right side
    35,883.50x = 988,758,963.38
  5. Step 5: Solve for x
    x = 988,758,963.38/35,883.50
  6. Step 6: Final answer
    x = 27,554.70

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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.