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Finding the Fourth Proportional to 34,157.64, 51,244.30 and 10,783.40

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Solution

The fourth proportional to 34,157.64, 51,244.30 and 10,783.40 is: 16,177.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,157.64 : 51,244.30 = 10,783.40 : x
  2. Step 2: Convert to fraction form
    34,157.64/51,244.30 = 10,783.40/x
  3. Step 3: Cross multiply
    34,157.64x = 51,244.30 × 10,783.40
  4. Step 4: Simplify right side
    34,157.64x = 552,587,784.62
  5. Step 5: Solve for x
    x = 552,587,784.62/34,157.64
  6. Step 6: Final answer
    x = 16,177.58

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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.