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Finding the Fourth Proportional to 30,935.36, 46,408.17 and 10,154

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Solution

The fourth proportional to 30,935.36, 46,408.17 and 10,154 is: 15,232.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,935.36 : 46,408.17 = 10,154 : x
  2. Step 2: Convert to fraction form
    30,935.36/46,408.17 = 10,154/x
  3. Step 3: Cross multiply
    30,935.36x = 46,408.17 × 10,154
  4. Step 4: Simplify right side
    30,935.36x = 471,228,558.18
  5. Step 5: Solve for x
    x = 471,228,558.18/30,935.36
  6. Step 6: Final answer
    x = 15,232.68

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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.