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Finding the Fourth Proportional to 34,595.78, 47,692.41 and 24,642.50

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Solution

The fourth proportional to 34,595.78, 47,692.41 and 24,642.50 is: 33,971.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,595.78 : 47,692.41 = 24,642.50 : x
  2. Step 2: Convert to fraction form
    34,595.78/47,692.41 = 24,642.50/x
  3. Step 3: Cross multiply
    34,595.78x = 47,692.41 × 24,642.50
  4. Step 4: Simplify right side
    34,595.78x = 1,175,260,213.43
  5. Step 5: Solve for x
    x = 1,175,260,213.43/34,595.78
  6. Step 6: Final answer
    x = 33,971.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.