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Finding the Fourth Proportional to 35,252, 52,878.32 and 11,559.20

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Solution

The fourth proportional to 35,252, 52,878.32 and 11,559.20 is: 17,338.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,252 : 52,878.32 = 11,559.20 : x
  2. Step 2: Convert to fraction form
    35,252/52,878.32 = 11,559.20/x
  3. Step 3: Cross multiply
    35,252x = 52,878.32 × 11,559.20
  4. Step 4: Simplify right side
    35,252x = 611,231,076.54
  5. Step 5: Solve for x
    x = 611,231,076.54/35,252
  6. Step 6: Final answer
    x = 17,338.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.