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Finding the Fourth Proportional to 30,980.88, 46,454.85 and 12,260.16

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Solution

The fourth proportional to 30,980.88, 46,454.85 and 12,260.16 is: 18,383.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,980.88 : 46,454.85 = 12,260.16 : x
  2. Step 2: Convert to fraction form
    30,980.88/46,454.85 = 12,260.16/x
  3. Step 3: Cross multiply
    30,980.88x = 46,454.85 × 12,260.16
  4. Step 4: Simplify right side
    30,980.88x = 569,543,893.78
  5. Step 5: Solve for x
    x = 569,543,893.78/30,980.88
  6. Step 6: Final answer
    x = 18,383.72

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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.