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Finding the Fourth Proportional to 46,634.88, 69,915.36 and 24,444

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Solution

The fourth proportional to 46,634.88, 69,915.36 and 24,444 is: 36,646.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,634.88 : 69,915.36 = 24,444 : x
  2. Step 2: Convert to fraction form
    46,634.88/69,915.36 = 24,444/x
  3. Step 3: Cross multiply
    46,634.88x = 69,915.36 × 24,444
  4. Step 4: Simplify right side
    46,634.88x = 1,709,011,059.84
  5. Step 5: Solve for x
    x = 1,709,011,059.84/46,634.88
  6. Step 6: Final answer
    x = 36,646.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.