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Finding the Fourth Proportional to 82,430.20, 113,721.48 and 53,783.56

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Solution

The fourth proportional to 82,430.20, 113,721.48 and 53,783.56 is: 74,200.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,430.20 : 113,721.48 = 53,783.56 : x
  2. Step 2: Convert to fraction form
    82,430.20/113,721.48 = 53,783.56/x
  3. Step 3: Cross multiply
    82,430.20x = 113,721.48 × 53,783.56
  4. Step 4: Simplify right side
    82,430.20x = 6,116,346,042.87
  5. Step 5: Solve for x
    x = 6,116,346,042.87/82,430.20
  6. Step 6: Final answer
    x = 74,200.31

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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.