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Finding the Fourth Proportional to 30,872.80, 46,281.48 and 11,146.72

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Solution

The fourth proportional to 30,872.80, 46,281.48 and 11,146.72 is: 16,710.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,872.80 : 46,281.48 = 11,146.72 : x
  2. Step 2: Convert to fraction form
    30,872.80/46,281.48 = 11,146.72/x
  3. Step 3: Cross multiply
    30,872.80x = 46,281.48 × 11,146.72
  4. Step 4: Simplify right side
    30,872.80x = 515,886,698.75
  5. Step 5: Solve for x
    x = 515,886,698.75/30,872.80
  6. Step 6: Final answer
    x = 16,710.07

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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.