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Finding the Fourth Proportional to 35,502.32, 48,992.28 and 19,586

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Solution

The fourth proportional to 35,502.32, 48,992.28 and 19,586 is: 27,028.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,502.32 : 48,992.28 = 19,586 : x
  2. Step 2: Convert to fraction form
    35,502.32/48,992.28 = 19,586/x
  3. Step 3: Cross multiply
    35,502.32x = 48,992.28 × 19,586
  4. Step 4: Simplify right side
    35,502.32x = 959,562,796.08
  5. Step 5: Solve for x
    x = 959,562,796.08/35,502.32
  6. Step 6: Final answer
    x = 27,028.17

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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.