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Finding the Fourth Proportional to 30,837.80, 46,261.53 and 13,068.50

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Solution

The fourth proportional to 30,837.80, 46,261.53 and 13,068.50 is: 19,604.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,837.80 : 46,261.53 = 13,068.50 : x
  2. Step 2: Convert to fraction form
    30,837.80/46,261.53 = 13,068.50/x
  3. Step 3: Cross multiply
    30,837.80x = 46,261.53 × 13,068.50
  4. Step 4: Simplify right side
    30,837.80x = 604,568,573.50
  5. Step 5: Solve for x
    x = 604,568,573.50/30,837.80
  6. Step 6: Final answer
    x = 19,604.79

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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.