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Finding the Fourth Proportional to 30,707.40, 46,062.05 and 11,986.68

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Solution

The fourth proportional to 30,707.40, 46,062.05 and 11,986.68 is: 17,980.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,707.40 : 46,062.05 = 11,986.68 : x
  2. Step 2: Convert to fraction form
    30,707.40/46,062.05 = 11,986.68/x
  3. Step 3: Cross multiply
    30,707.40x = 46,062.05 × 11,986.68
  4. Step 4: Simplify right side
    30,707.40x = 552,130,993.56
  5. Step 5: Solve for x
    x = 552,130,993.56/30,707.40
  6. Step 6: Final answer
    x = 17,980.39

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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.