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Finding the Fourth Proportional to 30,696.93, 46,044 and 9,636.48

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Solution

The fourth proportional to 30,696.93, 46,044 and 9,636.48 is: 14,454.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,696.93 : 46,044 = 9,636.48 : x
  2. Step 2: Convert to fraction form
    30,696.93/46,044 = 9,636.48/x
  3. Step 3: Cross multiply
    30,696.93x = 46,044 × 9,636.48
  4. Step 4: Simplify right side
    30,696.93x = 443,702,085.12
  5. Step 5: Solve for x
    x = 443,702,085.12/30,696.93
  6. Step 6: Final answer
    x = 14,454.28

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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.