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Finding the Fourth Proportional to 49,492.48, 68,300.32 and 27,136

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Solution

The fourth proportional to 49,492.48, 68,300.32 and 27,136 is: 37,448.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,492.48 : 68,300.32 = 27,136 : x
  2. Step 2: Convert to fraction form
    49,492.48/68,300.32 = 27,136/x
  3. Step 3: Cross multiply
    49,492.48x = 68,300.32 × 27,136
  4. Step 4: Simplify right side
    49,492.48x = 1,853,397,483.52
  5. Step 5: Solve for x
    x = 1,853,397,483.52/49,492.48
  6. Step 6: Final answer
    x = 37,448.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.