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Finding the Fourth Proportional to 82,495.88, 113,758.26 and 48,955.40

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Solution

The fourth proportional to 82,495.88, 113,758.26 and 48,955.40 is: 67,507.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,495.88 : 113,758.26 = 48,955.40 : x
  2. Step 2: Convert to fraction form
    82,495.88/113,758.26 = 48,955.40/x
  3. Step 3: Cross multiply
    82,495.88x = 113,758.26 × 48,955.40
  4. Step 4: Simplify right side
    82,495.88x = 5,569,081,121.60
  5. Step 5: Solve for x
    x = 5,569,081,121.60/82,495.88
  6. Step 6: Final answer
    x = 67,507.38

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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.