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Finding the Fourth Proportional to 30,947.47, 46,431.33 and 9,890.98

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Solution

The fourth proportional to 30,947.47, 46,431.33 and 9,890.98 is: 14,839.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,947.47 : 46,431.33 = 9,890.98 : x
  2. Step 2: Convert to fraction form
    30,947.47/46,431.33 = 9,890.98/x
  3. Step 3: Cross multiply
    30,947.47x = 46,431.33 × 9,890.98
  4. Step 4: Simplify right side
    30,947.47x = 459,251,356.40
  5. Step 5: Solve for x
    x = 459,251,356.40/30,947.47
  6. Step 6: Final answer
    x = 14,839.71

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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.