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Finding the Fourth Proportional to 74,046.64, 110,969.29 and 31,316.54

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Solution

The fourth proportional to 74,046.64, 110,969.29 and 31,316.54 is: 46,932.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,046.64 : 110,969.29 = 31,316.54 : x
  2. Step 2: Convert to fraction form
    74,046.64/110,969.29 = 31,316.54/x
  3. Step 3: Cross multiply
    74,046.64x = 110,969.29 × 31,316.54
  4. Step 4: Simplify right side
    74,046.64x = 3,475,173,497.63
  5. Step 5: Solve for x
    x = 3,475,173,497.63/74,046.64
  6. Step 6: Final answer
    x = 46,932.23

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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.