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Finding the Fourth Proportional to 35,634.60, 53,436.86 and 10,678.20

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Solution

The fourth proportional to 35,634.60, 53,436.86 and 10,678.20 is: 16,012.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,634.60 : 53,436.86 = 10,678.20 : x
  2. Step 2: Convert to fraction form
    35,634.60/53,436.86 = 10,678.20/x
  3. Step 3: Cross multiply
    35,634.60x = 53,436.86 × 10,678.20
  4. Step 4: Simplify right side
    35,634.60x = 570,609,478.45
  5. Step 5: Solve for x
    x = 570,609,478.45/35,634.60
  6. Step 6: Final answer
    x = 16,012.79

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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.