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Finding the Fourth Proportional to 35,076.56, 48,419.08 and 21,650

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Solution

The fourth proportional to 35,076.56, 48,419.08 and 21,650 is: 29,885.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,076.56 : 48,419.08 = 21,650 : x
  2. Step 2: Convert to fraction form
    35,076.56/48,419.08 = 21,650/x
  3. Step 3: Cross multiply
    35,076.56x = 48,419.08 × 21,650
  4. Step 4: Simplify right side
    35,076.56x = 1,048,273,082
  5. Step 5: Solve for x
    x = 1,048,273,082/35,076.56
  6. Step 6: Final answer
    x = 29,885.29

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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.