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Finding the Fourth Proportional to 35,810.30, 53,716.02 and 10,850.60

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Solution

The fourth proportional to 35,810.30, 53,716.02 and 10,850.60 is: 16,276.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,810.30 : 53,716.02 = 10,850.60 : x
  2. Step 2: Convert to fraction form
    35,810.30/53,716.02 = 10,850.60/x
  3. Step 3: Cross multiply
    35,810.30x = 53,716.02 × 10,850.60
  4. Step 4: Simplify right side
    35,810.30x = 582,851,046.61
  5. Step 5: Solve for x
    x = 582,851,046.61/35,810.30
  6. Step 6: Final answer
    x = 16,276.07

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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.