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Finding the Fourth Proportional to 30,901.17, 46,339.76 and 10,634.07

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Solution

The fourth proportional to 30,901.17, 46,339.76 and 10,634.07 is: 15,946.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,901.17 : 46,339.76 = 10,634.07 : x
  2. Step 2: Convert to fraction form
    30,901.17/46,339.76 = 10,634.07/x
  3. Step 3: Cross multiply
    30,901.17x = 46,339.76 × 10,634.07
  4. Step 4: Simplify right side
    30,901.17x = 492,780,198.45
  5. Step 5: Solve for x
    x = 492,780,198.45/30,901.17
  6. Step 6: Final answer
    x = 15,946.98

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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.