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Finding the Fourth Proportional to 82,990.41, 114,525.28 and 48,538.47

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Solution

The fourth proportional to 82,990.41, 114,525.28 and 48,538.47 is: 66,982.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,990.41 : 114,525.28 = 48,538.47 : x
  2. Step 2: Convert to fraction form
    82,990.41/114,525.28 = 48,538.47/x
  3. Step 3: Cross multiply
    82,990.41x = 114,525.28 × 48,538.47
  4. Step 4: Simplify right side
    82,990.41x = 5,558,881,867.52
  5. Step 5: Solve for x
    x = 5,558,881,867.52/82,990.41
  6. Step 6: Final answer
    x = 66,982.22

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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.