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Finding the Fourth Proportional to 30,862.82, 46,294.23 and 8,678.45

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Solution

The fourth proportional to 30,862.82, 46,294.23 and 8,678.45 is: 13,017.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,862.82 : 46,294.23 = 8,678.45 : x
  2. Step 2: Convert to fraction form
    30,862.82/46,294.23 = 8,678.45/x
  3. Step 3: Cross multiply
    30,862.82x = 46,294.23 × 8,678.45
  4. Step 4: Simplify right side
    30,862.82x = 401,762,160.34
  5. Step 5: Solve for x
    x = 401,762,160.34/30,862.82
  6. Step 6: Final answer
    x = 13,017.68

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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.