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Finding the Fourth Proportional to 74,980.50, 103,473.21 and 41,446.50

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Solution

The fourth proportional to 74,980.50, 103,473.21 and 41,446.50 is: 57,196.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,980.50 : 103,473.21 = 41,446.50 : x
  2. Step 2: Convert to fraction form
    74,980.50/103,473.21 = 41,446.50/x
  3. Step 3: Cross multiply
    74,980.50x = 103,473.21 × 41,446.50
  4. Step 4: Simplify right side
    74,980.50x = 4,288,602,398.27
  5. Step 5: Solve for x
    x = 4,288,602,398.27/74,980.50
  6. Step 6: Final answer
    x = 57,196.24

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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.