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Finding the Fourth Proportional to 46,293, 69,425.10 and 16,706.96

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Solution

The fourth proportional to 46,293, 69,425.10 and 16,706.96 is: 25,055.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,293 : 69,425.10 = 16,706.96 : x
  2. Step 2: Convert to fraction form
    46,293/69,425.10 = 16,706.96/x
  3. Step 3: Cross multiply
    46,293x = 69,425.10 × 16,706.96
  4. Step 4: Simplify right side
    46,293x = 1,159,882,368.70
  5. Step 5: Solve for x
    x = 1,159,882,368.70/46,293
  6. Step 6: Final answer
    x = 25,055.24

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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.