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Finding the Fourth Proportional to 52,156.19, 78,233.46 and 20,990.63

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Solution

The fourth proportional to 52,156.19, 78,233.46 and 20,990.63 is: 31,485.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,156.19 : 78,233.46 = 20,990.63 : x
  2. Step 2: Convert to fraction form
    52,156.19/78,233.46 = 20,990.63/x
  3. Step 3: Cross multiply
    52,156.19x = 78,233.46 × 20,990.63
  4. Step 4: Simplify right side
    52,156.19x = 1,642,169,221.31
  5. Step 5: Solve for x
    x = 1,642,169,221.31/52,156.19
  6. Step 6: Final answer
    x = 31,485.61

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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.