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Finding the Fourth Proportional to 30,716.64, 46,073.34 and 15,129

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Solution

The fourth proportional to 30,716.64, 46,073.34 and 15,129 is: 22,692.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,716.64 : 46,073.34 = 15,129 : x
  2. Step 2: Convert to fraction form
    30,716.64/46,073.34 = 15,129/x
  3. Step 3: Cross multiply
    30,716.64x = 46,073.34 × 15,129
  4. Step 4: Simplify right side
    30,716.64x = 697,043,560.86
  5. Step 5: Solve for x
    x = 697,043,560.86/30,716.64
  6. Step 6: Final answer
    x = 22,692.70

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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.