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Finding the Fourth Proportional to 46,482.88, 69,706.76 and 16,893.36

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Solution

The fourth proportional to 46,482.88, 69,706.76 and 16,893.36 is: 25,333.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,482.88 : 69,706.76 = 16,893.36 : x
  2. Step 2: Convert to fraction form
    46,482.88/69,706.76 = 16,893.36/x
  3. Step 3: Cross multiply
    46,482.88x = 69,706.76 × 16,893.36
  4. Step 4: Simplify right side
    46,482.88x = 1,177,581,391.11
  5. Step 5: Solve for x
    x = 1,177,581,391.11/46,482.88
  6. Step 6: Final answer
    x = 25,333.66

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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.