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Finding the Fourth Proportional to 52,205.40, 78,318.18 and 21,043.80

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Solution

The fourth proportional to 52,205.40, 78,318.18 and 21,043.80 is: 31,569.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,205.40 : 78,318.18 = 21,043.80 : x
  2. Step 2: Convert to fraction form
    52,205.40/78,318.18 = 21,043.80/x
  3. Step 3: Cross multiply
    52,205.40x = 78,318.18 × 21,043.80
  4. Step 4: Simplify right side
    52,205.40x = 1,648,112,116.28
  5. Step 5: Solve for x
    x = 1,648,112,116.28/52,205.40
  6. Step 6: Final answer
    x = 31,569.76

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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.