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Finding the Fourth Proportional to 30,825.73, 46,237.95 and 11,117.20

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Solution

The fourth proportional to 30,825.73, 46,237.95 and 11,117.20 is: 16,675.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,825.73 : 46,237.95 = 11,117.20 : x
  2. Step 2: Convert to fraction form
    30,825.73/46,237.95 = 11,117.20/x
  3. Step 3: Cross multiply
    30,825.73x = 46,237.95 × 11,117.20
  4. Step 4: Simplify right side
    30,825.73x = 514,036,537.74
  5. Step 5: Solve for x
    x = 514,036,537.74/30,825.73
  6. Step 6: Final answer
    x = 16,675.57

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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.