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Finding the Fourth Proportional to 52,675.40, 78,897.90 and 40,896.20

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Solution

The fourth proportional to 52,675.40, 78,897.90 and 40,896.20 is: 61,254.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,675.40 : 78,897.90 = 40,896.20 : x
  2. Step 2: Convert to fraction form
    52,675.40/78,897.90 = 40,896.20/x
  3. Step 3: Cross multiply
    52,675.40x = 78,897.90 × 40,896.20
  4. Step 4: Simplify right side
    52,675.40x = 3,226,624,297.98
  5. Step 5: Solve for x
    x = 3,226,624,297.98/52,675.40
  6. Step 6: Final answer
    x = 61,254.86

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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.