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Finding the Fourth Proportional to 30,646.60, 45,969.86 and 26,797.48

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Solution

The fourth proportional to 30,646.60, 45,969.86 and 26,797.48 is: 40,196.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,646.60 : 45,969.86 = 26,797.48 : x
  2. Step 2: Convert to fraction form
    30,646.60/45,969.86 = 26,797.48/x
  3. Step 3: Cross multiply
    30,646.60x = 45,969.86 × 26,797.48
  4. Step 4: Simplify right side
    30,646.60x = 1,231,876,403.95
  5. Step 5: Solve for x
    x = 1,231,876,403.95/30,646.60
  6. Step 6: Final answer
    x = 40,196.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.