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Finding the Fourth Proportional to 30,857.52, 46,276.70 and 11,133.50

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Solution

The fourth proportional to 30,857.52, 46,276.70 and 11,133.50 is: 16,696.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,857.52 : 46,276.70 = 11,133.50 : x
  2. Step 2: Convert to fraction form
    30,857.52/46,276.70 = 11,133.50/x
  3. Step 3: Cross multiply
    30,857.52x = 46,276.70 × 11,133.50
  4. Step 4: Simplify right side
    30,857.52x = 515,221,639.45
  5. Step 5: Solve for x
    x = 515,221,639.45/30,857.52
  6. Step 6: Final answer
    x = 16,696.79

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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.