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Finding the Fourth Proportional to 74,605, 102,954.90 and 41,071

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Solution

The fourth proportional to 74,605, 102,954.90 and 41,071 is: 56,677.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,605 : 102,954.90 = 41,071 : x
  2. Step 2: Convert to fraction form
    74,605/102,954.90 = 41,071/x
  3. Step 3: Cross multiply
    74,605x = 102,954.90 × 41,071
  4. Step 4: Simplify right side
    74,605x = 4,228,460,697.90
  5. Step 5: Solve for x
    x = 4,228,460,697.90/74,605
  6. Step 6: Final answer
    x = 56,677.98

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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.