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Finding the Fourth Proportional to 30,902.31, 46,351.14 and 9,841.50

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Solution

The fourth proportional to 30,902.31, 46,351.14 and 9,841.50 is: 14,761.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,902.31 : 46,351.14 = 9,841.50 : x
  2. Step 2: Convert to fraction form
    30,902.31/46,351.14 = 9,841.50/x
  3. Step 3: Cross multiply
    30,902.31x = 46,351.14 × 9,841.50
  4. Step 4: Simplify right side
    30,902.31x = 456,164,860.19
  5. Step 5: Solve for x
    x = 456,164,860.19/30,902.31
  6. Step 6: Final answer
    x = 14,761.51

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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.