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Finding the Fourth Proportional to 30,693.17, 46,039.75 and 20,302.49

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Solution

The fourth proportional to 30,693.17, 46,039.75 and 20,302.49 is: 30,453.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,693.17 : 46,039.75 = 20,302.49 : x
  2. Step 2: Convert to fraction form
    30,693.17/46,039.75 = 20,302.49/x
  3. Step 3: Cross multiply
    30,693.17x = 46,039.75 × 20,302.49
  4. Step 4: Simplify right side
    30,693.17x = 934,721,283.02
  5. Step 5: Solve for x
    x = 934,721,283.02/30,693.17
  6. Step 6: Final answer
    x = 30,453.73

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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.