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Finding the Fourth Proportional to 51,174.34, 76,728.72 and 35,335

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Solution

The fourth proportional to 51,174.34, 76,728.72 and 35,335 is: 52,979.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,174.34 : 76,728.72 = 35,335 : x
  2. Step 2: Convert to fraction form
    51,174.34/76,728.72 = 35,335/x
  3. Step 3: Cross multiply
    51,174.34x = 76,728.72 × 35,335
  4. Step 4: Simplify right side
    51,174.34x = 2,711,209,321.20
  5. Step 5: Solve for x
    x = 2,711,209,321.20/51,174.34
  6. Step 6: Final answer
    x = 52,979.86

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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.