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Finding the Fourth Proportional to 30,894.84, 46,345.87 and 11,182.68

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Solution

The fourth proportional to 30,894.84, 46,345.87 and 11,182.68 is: 16,775.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,894.84 : 46,345.87 = 11,182.68 : x
  2. Step 2: Convert to fraction form
    30,894.84/46,345.87 = 11,182.68/x
  3. Step 3: Cross multiply
    30,894.84x = 46,345.87 × 11,182.68
  4. Step 4: Simplify right side
    30,894.84x = 518,271,033.53
  5. Step 5: Solve for x
    x = 518,271,033.53/30,894.84
  6. Step 6: Final answer
    x = 16,775.33

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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.