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Finding the Fourth Proportional to 52,030.90, 71,783.31 and 34,135.84

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Solution

The fourth proportional to 52,030.90, 71,783.31 and 34,135.84 is: 47,094.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,030.90 : 71,783.31 = 34,135.84 : x
  2. Step 2: Convert to fraction form
    52,030.90/71,783.31 = 34,135.84/x
  3. Step 3: Cross multiply
    52,030.90x = 71,783.31 × 34,135.84
  4. Step 4: Simplify right side
    52,030.90x = 2,450,383,584.83
  5. Step 5: Solve for x
    x = 2,450,383,584.83/52,030.90
  6. Step 6: Final answer
    x = 47,094.78

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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.