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Finding the Fourth Proportional to 34,623, 51,943.14 and 9,999

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Solution

The fourth proportional to 34,623, 51,943.14 and 9,999 is: 15,001.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,623 : 51,943.14 = 9,999 : x
  2. Step 2: Convert to fraction form
    34,623/51,943.14 = 9,999/x
  3. Step 3: Cross multiply
    34,623x = 51,943.14 × 9,999
  4. Step 4: Simplify right side
    34,623x = 519,379,456.86
  5. Step 5: Solve for x
    x = 519,379,456.86/34,623
  6. Step 6: Final answer
    x = 15,001.00

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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.