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Finding the Fourth Proportional to 30,946.39, 46,426.25 and 9,881.48

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Solution

The fourth proportional to 30,946.39, 46,426.25 and 9,881.48 is: 14,824.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,946.39 : 46,426.25 = 9,881.48 : x
  2. Step 2: Convert to fraction form
    30,946.39/46,426.25 = 9,881.48/x
  3. Step 3: Cross multiply
    30,946.39x = 46,426.25 × 9,881.48
  4. Step 4: Simplify right side
    30,946.39x = 458,760,122.44
  5. Step 5: Solve for x
    x = 458,760,122.44/30,946.39
  6. Step 6: Final answer
    x = 14,824.35

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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.