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Finding the Fourth Proportional to 35,592.96, 49,136 and 27,617.28

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Solution

The fourth proportional to 35,592.96, 49,136 and 27,617.28 is: 38,125.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,592.96 : 49,136 = 27,617.28 : x
  2. Step 2: Convert to fraction form
    35,592.96/49,136 = 27,617.28/x
  3. Step 3: Cross multiply
    35,592.96x = 49,136 × 27,617.28
  4. Step 4: Simplify right side
    35,592.96x = 1,357,002,670.08
  5. Step 5: Solve for x
    x = 1,357,002,670.08/35,592.96
  6. Step 6: Final answer
    x = 38,125.59

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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.