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Finding the Fourth Proportional to 52,283.61, 78,397.61 and 20,692.40

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Solution

The fourth proportional to 52,283.61, 78,397.61 and 20,692.40 is: 31,027.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,283.61 : 78,397.61 = 20,692.40 : x
  2. Step 2: Convert to fraction form
    52,283.61/78,397.61 = 20,692.40/x
  3. Step 3: Cross multiply
    52,283.61x = 78,397.61 × 20,692.40
  4. Step 4: Simplify right side
    52,283.61x = 1,622,234,209.71
  5. Step 5: Solve for x
    x = 1,622,234,209.71/52,283.61
  6. Step 6: Final answer
    x = 31,027.59

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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.