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Finding the Fourth Proportional to 56,957.22, 78,583.76 and 33,079.28

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Solution

The fourth proportional to 56,957.22, 78,583.76 and 33,079.28 is: 45,639.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,957.22 : 78,583.76 = 33,079.28 : x
  2. Step 2: Convert to fraction form
    56,957.22/78,583.76 = 33,079.28/x
  3. Step 3: Cross multiply
    56,957.22x = 78,583.76 × 33,079.28
  4. Step 4: Simplify right side
    56,957.22x = 2,599,494,200.49
  5. Step 5: Solve for x
    x = 2,599,494,200.49/56,957.22
  6. Step 6: Final answer
    x = 45,639.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.