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Finding the Fourth Proportional to 30,903, 46,352.17 and 9,842.19

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Solution

The fourth proportional to 30,903, 46,352.17 and 9,842.19 is: 14,762.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,903 : 46,352.17 = 9,842.19 : x
  2. Step 2: Convert to fraction form
    30,903/46,352.17 = 9,842.19/x
  3. Step 3: Cross multiply
    30,903x = 46,352.17 × 9,842.19
  4. Step 4: Simplify right side
    30,903x = 456,206,864.05
  5. Step 5: Solve for x
    x = 456,206,864.05/30,903
  6. Step 6: Final answer
    x = 14,762.54

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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.