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Finding the Fourth Proportional to 46,196.17, 69,304.64 and 16,614

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Solution

The fourth proportional to 46,196.17, 69,304.64 and 16,614 is: 24,924.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,196.17 : 69,304.64 = 16,614 : x
  2. Step 2: Convert to fraction form
    46,196.17/69,304.64 = 16,614/x
  3. Step 3: Cross multiply
    46,196.17x = 69,304.64 × 16,614
  4. Step 4: Simplify right side
    46,196.17x = 1,151,427,205.89
  5. Step 5: Solve for x
    x = 1,151,427,205.89/46,196.17
  6. Step 6: Final answer
    x = 24,924.73

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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.