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Finding the Fourth Proportional to 85,692.83, 128,565.50 and 38,347.76

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Solution

The fourth proportional to 85,692.83, 128,565.50 and 38,347.76 is: 57,533.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,692.83 : 128,565.50 = 38,347.76 : x
  2. Step 2: Convert to fraction form
    85,692.83/128,565.50 = 38,347.76/x
  3. Step 3: Cross multiply
    85,692.83x = 128,565.50 × 38,347.76
  4. Step 4: Simplify right side
    85,692.83x = 4,930,199,067.95
  5. Step 5: Solve for x
    x = 4,930,199,067.95/85,692.83
  6. Step 6: Final answer
    x = 57,533.39

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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.