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Finding the Fourth Proportional to 30,829.17, 46,243.77 and 7,455.60

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Solution

The fourth proportional to 30,829.17, 46,243.77 and 7,455.60 is: 11,183.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,829.17 : 46,243.77 = 7,455.60 : x
  2. Step 2: Convert to fraction form
    30,829.17/46,243.77 = 7,455.60/x
  3. Step 3: Cross multiply
    30,829.17x = 46,243.77 × 7,455.60
  4. Step 4: Simplify right side
    30,829.17x = 344,775,051.61
  5. Step 5: Solve for x
    x = 344,775,051.61/30,829.17
  6. Step 6: Final answer
    x = 11,183.40

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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.