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Finding the Fourth Proportional to 46,063.48, 69,084.90 and 17,984.20

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Solution

The fourth proportional to 46,063.48, 69,084.90 and 17,984.20 is: 26,972.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,063.48 : 69,084.90 = 17,984.20 : x
  2. Step 2: Convert to fraction form
    46,063.48/69,084.90 = 17,984.20/x
  3. Step 3: Cross multiply
    46,063.48x = 69,084.90 × 17,984.20
  4. Step 4: Simplify right side
    46,063.48x = 1,242,436,658.58
  5. Step 5: Solve for x
    x = 1,242,436,658.58/46,063.48
  6. Step 6: Final answer
    x = 26,972.27

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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.