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Finding the Fourth Proportional to 30,862.14, 46,293 and 8,675.38

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Solution

The fourth proportional to 30,862.14, 46,293 and 8,675.38 is: 13,013.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,862.14 : 46,293 = 8,675.38 : x
  2. Step 2: Convert to fraction form
    30,862.14/46,293 = 8,675.38/x
  3. Step 3: Cross multiply
    30,862.14x = 46,293 × 8,675.38
  4. Step 4: Simplify right side
    30,862.14x = 401,609,366.34
  5. Step 5: Solve for x
    x = 401,609,366.34/30,862.14
  6. Step 6: Final answer
    x = 13,013.01

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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.