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Finding the Fourth Proportional to 30,689.88, 46,044.54 and 10,968

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Solution

The fourth proportional to 30,689.88, 46,044.54 and 10,968 is: 16,455.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,689.88 : 46,044.54 = 10,968 : x
  2. Step 2: Convert to fraction form
    30,689.88/46,044.54 = 10,968/x
  3. Step 3: Cross multiply
    30,689.88x = 46,044.54 × 10,968
  4. Step 4: Simplify right side
    30,689.88x = 505,016,514.72
  5. Step 5: Solve for x
    x = 505,016,514.72/30,689.88
  6. Step 6: Final answer
    x = 16,455.47

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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.