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Finding the Fourth Proportional to 30,828.16, 46,250.07 and 8,641.63

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Solution

The fourth proportional to 30,828.16, 46,250.07 and 8,641.63 is: 12,964.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,828.16 : 46,250.07 = 8,641.63 : x
  2. Step 2: Convert to fraction form
    30,828.16/46,250.07 = 8,641.63/x
  3. Step 3: Cross multiply
    30,828.16x = 46,250.07 × 8,641.63
  4. Step 4: Simplify right side
    30,828.16x = 399,675,992.41
  5. Step 5: Solve for x
    x = 399,675,992.41/30,828.16
  6. Step 6: Final answer
    x = 12,964.64

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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.