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Finding the Fourth Proportional to 71,483, 107,224.50 and 48,971.48

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Solution

The fourth proportional to 71,483, 107,224.50 and 48,971.48 is: 73,457.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,483 : 107,224.50 = 48,971.48 : x
  2. Step 2: Convert to fraction form
    71,483/107,224.50 = 48,971.48/x
  3. Step 3: Cross multiply
    71,483x = 107,224.50 × 48,971.48
  4. Step 4: Simplify right side
    71,483x = 5,250,942,457.26
  5. Step 5: Solve for x
    x = 5,250,942,457.26/71,483
  6. Step 6: Final answer
    x = 73,457.22

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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.