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Finding the Fourth Proportional to 34,610.64, 51,913.53 and 19,773.06

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Solution

The fourth proportional to 34,610.64, 51,913.53 and 19,773.06 is: 29,658.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,610.64 : 51,913.53 = 19,773.06 : x
  2. Step 2: Convert to fraction form
    34,610.64/51,913.53 = 19,773.06/x
  3. Step 3: Cross multiply
    34,610.64x = 51,913.53 × 19,773.06
  4. Step 4: Simplify right side
    34,610.64x = 1,026,489,294.07
  5. Step 5: Solve for x
    x = 1,026,489,294.07/34,610.64
  6. Step 6: Final answer
    x = 29,658.20

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Why These Related Problems?

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