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Finding the Fourth Proportional to 97,506.60, 146,277.72 and 30,963.48

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Solution

The fourth proportional to 97,506.60, 146,277.72 and 30,963.48 is: 46,450.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,506.60 : 146,277.72 = 30,963.48 : x
  2. Step 2: Convert to fraction form
    97,506.60/146,277.72 = 30,963.48/x
  3. Step 3: Cross multiply
    97,506.60x = 146,277.72 × 30,963.48
  4. Step 4: Simplify right side
    97,506.60x = 4,529,267,257.67
  5. Step 5: Solve for x
    x = 4,529,267,257.67/97,506.60
  6. Step 6: Final answer
    x = 46,450.88

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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.