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Finding the Fourth Proportional to 30,866.68, 46,028.96 and 30,586

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Solution

The fourth proportional to 30,866.68, 46,028.96 and 30,586 is: 45,610.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,866.68 : 46,028.96 = 30,586 : x
  2. Step 2: Convert to fraction form
    30,866.68/46,028.96 = 30,586/x
  3. Step 3: Cross multiply
    30,866.68x = 46,028.96 × 30,586
  4. Step 4: Simplify right side
    30,866.68x = 1,407,841,770.56
  5. Step 5: Solve for x
    x = 1,407,841,770.56/30,866.68
  6. Step 6: Final answer
    x = 45,610.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.