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Finding the Fourth Proportional to 30,947.79, 46,419.39 and 9,886.98

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Solution

The fourth proportional to 30,947.79, 46,419.39 and 9,886.98 is: 14,829.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,947.79 : 46,419.39 = 9,886.98 : x
  2. Step 2: Convert to fraction form
    30,947.79/46,419.39 = 9,886.98/x
  3. Step 3: Cross multiply
    30,947.79x = 46,419.39 × 9,886.98
  4. Step 4: Simplify right side
    30,947.79x = 458,947,580.54
  5. Step 5: Solve for x
    x = 458,947,580.54/30,947.79
  6. Step 6: Final answer
    x = 14,829.74

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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.