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Finding the Fourth Proportional to 35,497.84, 48,989.92 and 19,584

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Solution

The fourth proportional to 35,497.84, 48,989.92 and 19,584 is: 27,027.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,497.84 : 48,989.92 = 19,584 : x
  2. Step 2: Convert to fraction form
    35,497.84/48,989.92 = 19,584/x
  3. Step 3: Cross multiply
    35,497.84x = 48,989.92 × 19,584
  4. Step 4: Simplify right side
    35,497.84x = 959,418,593.28
  5. Step 5: Solve for x
    x = 959,418,593.28/35,497.84
  6. Step 6: Final answer
    x = 27,027.52

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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.