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Finding the Fourth Proportional to 58,284, 80,431.96 and 31,788

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Solution

The fourth proportional to 58,284, 80,431.96 and 31,788 is: 43,867.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,284 : 80,431.96 = 31,788 : x
  2. Step 2: Convert to fraction form
    58,284/80,431.96 = 31,788/x
  3. Step 3: Cross multiply
    58,284x = 80,431.96 × 31,788
  4. Step 4: Simplify right side
    58,284x = 2,556,771,144.48
  5. Step 5: Solve for x
    x = 2,556,771,144.48/58,284
  6. Step 6: Final answer
    x = 43,867.46

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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.