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Finding the Fourth Proportional to 97,231.50, 145,847.25 and 31,567.50

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Solution

The fourth proportional to 97,231.50, 145,847.25 and 31,567.50 is: 47,351.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,231.50 : 145,847.25 = 31,567.50 : x
  2. Step 2: Convert to fraction form
    97,231.50/145,847.25 = 31,567.50/x
  3. Step 3: Cross multiply
    97,231.50x = 145,847.25 × 31,567.50
  4. Step 4: Simplify right side
    97,231.50x = 4,604,033,064.38
  5. Step 5: Solve for x
    x = 4,604,033,064.38/97,231.50
  6. Step 6: Final answer
    x = 47,351.25

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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.