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Finding the Fourth Proportional to 74,605.72, 102,955.26 and 41,071

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Solution

The fourth proportional to 74,605.72, 102,955.26 and 41,071 is: 56,677.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,605.72 : 102,955.26 = 41,071 : x
  2. Step 2: Convert to fraction form
    74,605.72/102,955.26 = 41,071/x
  3. Step 3: Cross multiply
    74,605.72x = 102,955.26 × 41,071
  4. Step 4: Simplify right side
    74,605.72x = 4,228,475,483.46
  5. Step 5: Solve for x
    x = 4,228,475,483.46/74,605.72
  6. Step 6: Final answer
    x = 56,677.63

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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.