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Finding the Fourth Proportional to 30,953.81, 46,431.36 and 10,177.31

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Solution

The fourth proportional to 30,953.81, 46,431.36 and 10,177.31 is: 15,266.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,953.81 : 46,431.36 = 10,177.31 : x
  2. Step 2: Convert to fraction form
    30,953.81/46,431.36 = 10,177.31/x
  3. Step 3: Cross multiply
    30,953.81x = 46,431.36 × 10,177.31
  4. Step 4: Simplify right side
    30,953.81x = 472,546,460.52
  5. Step 5: Solve for x
    x = 472,546,460.52/30,953.81
  6. Step 6: Final answer
    x = 15,266.18

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