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Finding the Fourth Proportional to 35,971.40, 53,957.10 and 33,782.60

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Solution

The fourth proportional to 35,971.40, 53,957.10 and 33,782.60 is: 50,673.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,971.40 : 53,957.10 = 33,782.60 : x
  2. Step 2: Convert to fraction form
    35,971.40/53,957.10 = 33,782.60/x
  3. Step 3: Cross multiply
    35,971.40x = 53,957.10 × 33,782.60
  4. Step 4: Simplify right side
    35,971.40x = 1,822,811,126.46
  5. Step 5: Solve for x
    x = 1,822,811,126.46/35,971.40
  6. Step 6: Final answer
    x = 50,673.90

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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.