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Finding the Fourth Proportional to 74,929.26, 103,402.32 and 40,938

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Solution

The fourth proportional to 74,929.26, 103,402.32 and 40,938 is: 56,494.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,929.26 : 103,402.32 = 40,938 : x
  2. Step 2: Convert to fraction form
    74,929.26/103,402.32 = 40,938/x
  3. Step 3: Cross multiply
    74,929.26x = 103,402.32 × 40,938
  4. Step 4: Simplify right side
    74,929.26x = 4,233,084,176.16
  5. Step 5: Solve for x
    x = 4,233,084,176.16/74,929.26
  6. Step 6: Final answer
    x = 56,494.41

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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.