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Finding the Fourth Proportional to 30,675.66, 46,006.64 and 11,956.20

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Solution

The fourth proportional to 30,675.66, 46,006.64 and 11,956.20 is: 17,931.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,675.66 : 46,006.64 = 11,956.20 : x
  2. Step 2: Convert to fraction form
    30,675.66/46,006.64 = 11,956.20/x
  3. Step 3: Cross multiply
    30,675.66x = 46,006.64 × 11,956.20
  4. Step 4: Simplify right side
    30,675.66x = 550,064,359.13
  5. Step 5: Solve for x
    x = 550,064,359.13/30,675.66
  6. Step 6: Final answer
    x = 17,931.63

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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.