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Finding the Fourth Proportional to 30,886.36, 46,329.19 and 7,512.82

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Solution

The fourth proportional to 30,886.36, 46,329.19 and 7,512.82 is: 11,269.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,886.36 : 46,329.19 = 7,512.82 : x
  2. Step 2: Convert to fraction form
    30,886.36/46,329.19 = 7,512.82/x
  3. Step 3: Cross multiply
    30,886.36x = 46,329.19 × 7,512.82
  4. Step 4: Simplify right side
    30,886.36x = 348,062,865.22
  5. Step 5: Solve for x
    x = 348,062,865.22/30,886.36
  6. Step 6: Final answer
    x = 11,269.14

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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.