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Finding the Fourth Proportional to 102,596.58, 153,796.50 and 32,426.73

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Solution

The fourth proportional to 102,596.58, 153,796.50 and 32,426.73 is: 48,609.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,596.58 : 153,796.50 = 32,426.73 : x
  2. Step 2: Convert to fraction form
    102,596.58/153,796.50 = 32,426.73/x
  3. Step 3: Cross multiply
    102,596.58x = 153,796.50 × 32,426.73
  4. Step 4: Simplify right side
    102,596.58x = 4,987,117,580.45
  5. Step 5: Solve for x
    x = 4,987,117,580.45/102,596.58
  6. Step 6: Final answer
    x = 48,609.00

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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.