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Finding the Fourth Proportional to 30,899.70, 46,349.01 and 9,839.43

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Solution

The fourth proportional to 30,899.70, 46,349.01 and 9,839.43 is: 14,758.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,899.70 : 46,349.01 = 9,839.43 : x
  2. Step 2: Convert to fraction form
    30,899.70/46,349.01 = 9,839.43/x
  3. Step 3: Cross multiply
    30,899.70x = 46,349.01 × 9,839.43
  4. Step 4: Simplify right side
    30,899.70x = 456,047,839.46
  5. Step 5: Solve for x
    x = 456,047,839.46/30,899.70
  6. Step 6: Final answer
    x = 14,758.97

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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.