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Finding the Fourth Proportional to 34,743.49, 52,118.31 and 9,783.76

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Solution

The fourth proportional to 34,743.49, 52,118.31 and 9,783.76 is: 14,676.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,743.49 : 52,118.31 = 9,783.76 : x
  2. Step 2: Convert to fraction form
    34,743.49/52,118.31 = 9,783.76/x
  3. Step 3: Cross multiply
    34,743.49x = 52,118.31 × 9,783.76
  4. Step 4: Simplify right side
    34,743.49x = 509,913,036.65
  5. Step 5: Solve for x
    x = 509,913,036.65/34,743.49
  6. Step 6: Final answer
    x = 14,676.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.