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Finding the Fourth Proportional to 30,893.16, 46,339.74 and 11,167.10

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Solution

The fourth proportional to 30,893.16, 46,339.74 and 11,167.10 is: 16,750.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,893.16 : 46,339.74 = 11,167.10 : x
  2. Step 2: Convert to fraction form
    30,893.16/46,339.74 = 11,167.10/x
  3. Step 3: Cross multiply
    30,893.16x = 46,339.74 × 11,167.10
  4. Step 4: Simplify right side
    30,893.16x = 517,480,454.72
  5. Step 5: Solve for x
    x = 517,480,454.72/30,893.16
  6. Step 6: Final answer
    x = 16,750.65

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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.