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Finding the Fourth Proportional to 34,692.78, 51,788.14 and 30,489.10

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Solution

The fourth proportional to 34,692.78, 51,788.14 and 30,489.10 is: 45,513.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,692.78 : 51,788.14 = 30,489.10 : x
  2. Step 2: Convert to fraction form
    34,692.78/51,788.14 = 30,489.10/x
  3. Step 3: Cross multiply
    34,692.78x = 51,788.14 × 30,489.10
  4. Step 4: Simplify right side
    34,692.78x = 1,578,973,779.27
  5. Step 5: Solve for x
    x = 1,578,973,779.27/34,692.78
  6. Step 6: Final answer
    x = 45,513.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.