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Finding the Fourth Proportional to 47,955.84, 66,185.46 and 27,545.94

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Solution

The fourth proportional to 47,955.84, 66,185.46 and 27,545.94 is: 38,017.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,955.84 : 66,185.46 = 27,545.94 : x
  2. Step 2: Convert to fraction form
    47,955.84/66,185.46 = 27,545.94/x
  3. Step 3: Cross multiply
    47,955.84x = 66,185.46 × 27,545.94
  4. Step 4: Simplify right side
    47,955.84x = 1,823,140,710.03
  5. Step 5: Solve for x
    x = 1,823,140,710.03/47,955.84
  6. Step 6: Final answer
    x = 38,017.07

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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.