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Finding the Fourth Proportional to 30,930.48, 46,398.30 and 9,873.54

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Solution

The fourth proportional to 30,930.48, 46,398.30 and 9,873.54 is: 14,811.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,930.48 : 46,398.30 = 9,873.54 : x
  2. Step 2: Convert to fraction form
    30,930.48/46,398.30 = 9,873.54/x
  3. Step 3: Cross multiply
    30,930.48x = 46,398.30 × 9,873.54
  4. Step 4: Simplify right side
    30,930.48x = 458,115,470.98
  5. Step 5: Solve for x
    x = 458,115,470.98/30,930.48
  6. Step 6: Final answer
    x = 14,811.13

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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.