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Finding the Fourth Proportional to 43,053.60, 64,517.22 and 30,597.60

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Solution

The fourth proportional to 43,053.60, 64,517.22 and 30,597.60 is: 45,851.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,053.60 : 64,517.22 = 30,597.60 : x
  2. Step 2: Convert to fraction form
    43,053.60/64,517.22 = 30,597.60/x
  3. Step 3: Cross multiply
    43,053.60x = 64,517.22 × 30,597.60
  4. Step 4: Simplify right side
    43,053.60x = 1,974,072,090.67
  5. Step 5: Solve for x
    x = 1,974,072,090.67/43,053.60
  6. Step 6: Final answer
    x = 45,851.50

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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.