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Finding the Fourth Proportional to 97,675.80, 146,518.02 and 31,120.80

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Solution

The fourth proportional to 97,675.80, 146,518.02 and 31,120.80 is: 46,682.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,675.80 : 146,518.02 = 31,120.80 : x
  2. Step 2: Convert to fraction form
    97,675.80/146,518.02 = 31,120.80/x
  3. Step 3: Cross multiply
    97,675.80x = 146,518.02 × 31,120.80
  4. Step 4: Simplify right side
    97,675.80x = 4,559,757,996.82
  5. Step 5: Solve for x
    x = 4,559,757,996.82/97,675.80
  6. Step 6: Final answer
    x = 46,682.58

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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.