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Finding the Fourth Proportional to 50,421.48, 69,580.66 and 31,569

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Solution

The fourth proportional to 50,421.48, 69,580.66 and 31,569 is: 43,564.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,421.48 : 69,580.66 = 31,569 : x
  2. Step 2: Convert to fraction form
    50,421.48/69,580.66 = 31,569/x
  3. Step 3: Cross multiply
    50,421.48x = 69,580.66 × 31,569
  4. Step 4: Simplify right side
    50,421.48x = 2,196,591,855.54
  5. Step 5: Solve for x
    x = 2,196,591,855.54/50,421.48
  6. Step 6: Final answer
    x = 43,564.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.