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Finding the Fourth Proportional to 30,833.77, 46,250.49 and 7,460.21

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Solution

The fourth proportional to 30,833.77, 46,250.49 and 7,460.21 is: 11,190.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,833.77 : 46,250.49 = 7,460.21 : x
  2. Step 2: Convert to fraction form
    30,833.77/46,250.49 = 7,460.21/x
  3. Step 3: Cross multiply
    30,833.77x = 46,250.49 × 7,460.21
  4. Step 4: Simplify right side
    30,833.77x = 345,038,368.00
  5. Step 5: Solve for x
    x = 345,038,368.00/30,833.77
  6. Step 6: Final answer
    x = 11,190.28

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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.