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Finding the Fourth Proportional to 30,894.85, 46,345.87 and 11,182.69

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Solution

The fourth proportional to 30,894.85, 46,345.87 and 11,182.69 is: 16,775.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,894.85 : 46,345.87 = 11,182.69 : x
  2. Step 2: Convert to fraction form
    30,894.85/46,345.87 = 11,182.69/x
  3. Step 3: Cross multiply
    30,894.85x = 46,345.87 × 11,182.69
  4. Step 4: Simplify right side
    30,894.85x = 518,271,265.26
  5. Step 5: Solve for x
    x = 518,271,265.26/30,894.85
  6. Step 6: Final answer
    x = 16,775.33

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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.