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Finding the Fourth Proportional to 34,692.50, 47,874.65 and 19,585.40

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Solution

The fourth proportional to 34,692.50, 47,874.65 and 19,585.40 is: 27,027.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,692.50 : 47,874.65 = 19,585.40 : x
  2. Step 2: Convert to fraction form
    34,692.50/47,874.65 = 19,585.40/x
  3. Step 3: Cross multiply
    34,692.50x = 47,874.65 × 19,585.40
  4. Step 4: Simplify right side
    34,692.50x = 937,643,832.81
  5. Step 5: Solve for x
    x = 937,643,832.81/34,692.50
  6. Step 6: Final answer
    x = 27,027.28

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Why These Related Problems?

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