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Finding the Fourth Proportional to 30,675.16, 46,005.89 and 11,955.70

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Solution

The fourth proportional to 30,675.16, 46,005.89 and 11,955.70 is: 17,930.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,675.16 : 46,005.89 = 11,955.70 : x
  2. Step 2: Convert to fraction form
    30,675.16/46,005.89 = 11,955.70/x
  3. Step 3: Cross multiply
    30,675.16x = 46,005.89 × 11,955.70
  4. Step 4: Simplify right side
    30,675.16x = 550,032,389.04
  5. Step 5: Solve for x
    x = 550,032,389.04/30,675.16
  6. Step 6: Final answer
    x = 17,930.88

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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.