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Finding the Fourth Proportional to 34,902, 48,164.53 and 18,986.50

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Solution

The fourth proportional to 34,902, 48,164.53 and 18,986.50 is: 26,201.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,902 : 48,164.53 = 18,986.50 : x
  2. Step 2: Convert to fraction form
    34,902/48,164.53 = 18,986.50/x
  3. Step 3: Cross multiply
    34,902x = 48,164.53 × 18,986.50
  4. Step 4: Simplify right side
    34,902x = 914,475,848.85
  5. Step 5: Solve for x
    x = 914,475,848.85/34,902
  6. Step 6: Final answer
    x = 26,201.24

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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.