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Finding the Fourth Proportional to 30,689.80, 46,010.40 and 13,145.20

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Solution

The fourth proportional to 30,689.80, 46,010.40 and 13,145.20 is: 19,707.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,689.80 : 46,010.40 = 13,145.20 : x
  2. Step 2: Convert to fraction form
    30,689.80/46,010.40 = 13,145.20/x
  3. Step 3: Cross multiply
    30,689.80x = 46,010.40 × 13,145.20
  4. Step 4: Simplify right side
    30,689.80x = 604,815,910.08
  5. Step 5: Solve for x
    x = 604,815,910.08/30,689.80
  6. Step 6: Final answer
    x = 19,707.39

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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.