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Finding the Fourth Proportional to 30,833.13, 46,255.53 and 9,778.48

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Solution

The fourth proportional to 30,833.13, 46,255.53 and 9,778.48 is: 14,669.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,833.13 : 46,255.53 = 9,778.48 : x
  2. Step 2: Convert to fraction form
    30,833.13/46,255.53 = 9,778.48/x
  3. Step 3: Cross multiply
    30,833.13x = 46,255.53 × 9,778.48
  4. Step 4: Simplify right side
    30,833.13x = 452,308,774.99
  5. Step 5: Solve for x
    x = 452,308,774.99/30,833.13
  6. Step 6: Final answer
    x = 14,669.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.