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Finding the Fourth Proportional to 82,993.41, 114,529.42 and 48,541.47

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Solution

The fourth proportional to 82,993.41, 114,529.42 and 48,541.47 is: 66,986.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,993.41 : 114,529.42 = 48,541.47 : x
  2. Step 2: Convert to fraction form
    82,993.41/114,529.42 = 48,541.47/x
  3. Step 3: Cross multiply
    82,993.41x = 114,529.42 × 48,541.47
  4. Step 4: Simplify right side
    82,993.41x = 5,559,426,405.05
  5. Step 5: Solve for x
    x = 5,559,426,405.05/82,993.41
  6. Step 6: Final answer
    x = 66,986.36

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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.