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Finding the Fourth Proportional to 42,461.80, 63,692.70 and 12,878.20

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Solution

The fourth proportional to 42,461.80, 63,692.70 and 12,878.20 is: 19,317.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,461.80 : 63,692.70 = 12,878.20 : x
  2. Step 2: Convert to fraction form
    42,461.80/63,692.70 = 12,878.20/x
  3. Step 3: Cross multiply
    42,461.80x = 63,692.70 × 12,878.20
  4. Step 4: Simplify right side
    42,461.80x = 820,247,329.14
  5. Step 5: Solve for x
    x = 820,247,329.14/42,461.80
  6. Step 6: Final answer
    x = 19,317.30

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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.