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Finding the Fourth Proportional to 30,700.80, 46,016.32 and 13,161.60

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Solution

The fourth proportional to 30,700.80, 46,016.32 and 13,161.60 is: 19,727.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,700.80 : 46,016.32 = 13,161.60 : x
  2. Step 2: Convert to fraction form
    30,700.80/46,016.32 = 13,161.60/x
  3. Step 3: Cross multiply
    30,700.80x = 46,016.32 × 13,161.60
  4. Step 4: Simplify right side
    30,700.80x = 605,648,397.31
  5. Step 5: Solve for x
    x = 605,648,397.31/30,700.80
  6. Step 6: Final answer
    x = 19,727.45

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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.