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Finding the Fourth Proportional to 74,700, 103,086 and 41,166

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Solution

The fourth proportional to 74,700, 103,086 and 41,166 is: 56,809.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,700 : 103,086 = 41,166 : x
  2. Step 2: Convert to fraction form
    74,700/103,086 = 41,166/x
  3. Step 3: Cross multiply
    74,700x = 103,086 × 41,166
  4. Step 4: Simplify right side
    74,700x = 4,243,638,276
  5. Step 5: Solve for x
    x = 4,243,638,276/74,700
  6. Step 6: Final answer
    x = 56,809.08

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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.