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Finding the Fourth Proportional to 97,969.50, 146,975.04 and 31,456.35

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Solution

The fourth proportional to 97,969.50, 146,975.04 and 31,456.35 is: 47,191.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,969.50 : 146,975.04 = 31,456.35 : x
  2. Step 2: Convert to fraction form
    97,969.50/146,975.04 = 31,456.35/x
  3. Step 3: Cross multiply
    97,969.50x = 146,975.04 × 31,456.35
  4. Step 4: Simplify right side
    97,969.50x = 4,623,298,299.50
  5. Step 5: Solve for x
    x = 4,623,298,299.50/97,969.50
  6. Step 6: Final answer
    x = 47,191.20

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