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Finding the Fourth Proportional to 74,057.43, 110,985.47 and 31,327.32

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Solution

The fourth proportional to 74,057.43, 110,985.47 and 31,327.32 is: 46,948.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,057.43 : 110,985.47 = 31,327.32 : x
  2. Step 2: Convert to fraction form
    74,057.43/110,985.47 = 31,327.32/x
  3. Step 3: Cross multiply
    74,057.43x = 110,985.47 × 31,327.32
  4. Step 4: Simplify right side
    74,057.43x = 3,476,877,177.40
  5. Step 5: Solve for x
    x = 3,476,877,177.40/74,057.43
  6. Step 6: Final answer
    x = 46,948.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.