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Finding the Fourth Proportional to 30,642.30, 45,937.94 and 11,917.94

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Solution

The fourth proportional to 30,642.30, 45,937.94 and 11,917.94 is: 17,866.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,642.30 : 45,937.94 = 11,917.94 : x
  2. Step 2: Convert to fraction form
    30,642.30/45,937.94 = 11,917.94/x
  3. Step 3: Cross multiply
    30,642.30x = 45,937.94 × 11,917.94
  4. Step 4: Simplify right side
    30,642.30x = 547,485,323.36
  5. Step 5: Solve for x
    x = 547,485,323.36/30,642.30
  6. Step 6: Final answer
    x = 17,866.98

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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.