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Finding the Fourth Proportional to 30,344.36, 41,916.58 and 25,678.76

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Solution

The fourth proportional to 30,344.36, 41,916.58 and 25,678.76 is: 35,471.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,344.36 : 41,916.58 = 25,678.76 : x
  2. Step 2: Convert to fraction form
    30,344.36/41,916.58 = 25,678.76/x
  3. Step 3: Cross multiply
    30,344.36x = 41,916.58 × 25,678.76
  4. Step 4: Simplify right side
    30,344.36x = 1,076,365,797.84
  5. Step 5: Solve for x
    x = 1,076,365,797.84/30,344.36
  6. Step 6: Final answer
    x = 35,471.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.