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Finding the Fourth Proportional to 97,863.66, 146,791.44 and 31,307.58

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Solution

The fourth proportional to 97,863.66, 146,791.44 and 31,307.58 is: 46,960.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,863.66 : 146,791.44 = 31,307.58 : x
  2. Step 2: Convert to fraction form
    97,863.66/146,791.44 = 31,307.58/x
  3. Step 3: Cross multiply
    97,863.66x = 146,791.44 × 31,307.58
  4. Step 4: Simplify right side
    97,863.66x = 4,595,684,751.12
  5. Step 5: Solve for x
    x = 4,595,684,751.12/97,863.66
  6. Step 6: Final answer
    x = 46,960.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.