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Finding the Fourth Proportional to 66,816, 92,206.26 and 37,008

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Solution

The fourth proportional to 66,816, 92,206.26 and 37,008 is: 51,071.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,816 : 92,206.26 = 37,008 : x
  2. Step 2: Convert to fraction form
    66,816/92,206.26 = 37,008/x
  3. Step 3: Cross multiply
    66,816x = 92,206.26 × 37,008
  4. Step 4: Simplify right side
    66,816x = 3,412,369,270.08
  5. Step 5: Solve for x
    x = 3,412,369,270.08/66,816
  6. Step 6: Final answer
    x = 51,071.14

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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.