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Finding the Fourth Proportional to 35,895.96, 53,844.06 and 17,415

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Solution

The fourth proportional to 35,895.96, 53,844.06 and 17,415 is: 26,122.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,895.96 : 53,844.06 = 17,415 : x
  2. Step 2: Convert to fraction form
    35,895.96/53,844.06 = 17,415/x
  3. Step 3: Cross multiply
    35,895.96x = 53,844.06 × 17,415
  4. Step 4: Simplify right side
    35,895.96x = 937,694,304.90
  5. Step 5: Solve for x
    x = 937,694,304.90/35,895.96
  6. Step 6: Final answer
    x = 26,122.56

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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.