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Finding the Fourth Proportional to 97,484.44, 146,196.90 and 41,323.50

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Solution

The fourth proportional to 97,484.44, 146,196.90 and 41,323.50 is: 61,972.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,484.44 : 146,196.90 = 41,323.50 : x
  2. Step 2: Convert to fraction form
    97,484.44/146,196.90 = 41,323.50/x
  3. Step 3: Cross multiply
    97,484.44x = 146,196.90 × 41,323.50
  4. Step 4: Simplify right side
    97,484.44x = 6,041,367,597.15
  5. Step 5: Solve for x
    x = 6,041,367,597.15/97,484.44
  6. Step 6: Final answer
    x = 61,972.63

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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.