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Finding the Fourth Proportional to 30,042.06, 45,073.80 and 13,400.60

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Solution

The fourth proportional to 30,042.06, 45,073.80 and 13,400.60 is: 20,105.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,042.06 : 45,073.80 = 13,400.60 : x
  2. Step 2: Convert to fraction form
    30,042.06/45,073.80 = 13,400.60/x
  3. Step 3: Cross multiply
    30,042.06x = 45,073.80 × 13,400.60
  4. Step 4: Simplify right side
    30,042.06x = 604,015,964.28
  5. Step 5: Solve for x
    x = 604,015,964.28/30,042.06
  6. Step 6: Final answer
    x = 20,105.68

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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.