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Finding the Fourth Proportional to 74,962.38, 103,446.33 and 40,971.09

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Solution

The fourth proportional to 74,962.38, 103,446.33 and 40,971.09 is: 56,539.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,962.38 : 103,446.33 = 40,971.09 : x
  2. Step 2: Convert to fraction form
    74,962.38/103,446.33 = 40,971.09/x
  3. Step 3: Cross multiply
    74,962.38x = 103,446.33 × 40,971.09
  4. Step 4: Simplify right side
    74,962.38x = 4,238,308,488.52
  5. Step 5: Solve for x
    x = 4,238,308,488.52/74,962.38
  6. Step 6: Final answer
    x = 56,539.14

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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.