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Finding the Fourth Proportional to 53,030.80, 73,181.10 and 28,831

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Solution

The fourth proportional to 53,030.80, 73,181.10 and 28,831 is: 39,786.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,030.80 : 73,181.10 = 28,831 : x
  2. Step 2: Convert to fraction form
    53,030.80/73,181.10 = 28,831/x
  3. Step 3: Cross multiply
    53,030.80x = 73,181.10 × 28,831
  4. Step 4: Simplify right side
    53,030.80x = 2,109,884,294.10
  5. Step 5: Solve for x
    x = 2,109,884,294.10/53,030.80
  6. Step 6: Final answer
    x = 39,786.02

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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.