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Finding the Fourth Proportional to 102,692.91, 154,037.70 and 39,526.75

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Solution

The fourth proportional to 102,692.91, 154,037.70 and 39,526.75 is: 59,289.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,692.91 : 154,037.70 = 39,526.75 : x
  2. Step 2: Convert to fraction form
    102,692.91/154,037.70 = 39,526.75/x
  3. Step 3: Cross multiply
    102,692.91x = 154,037.70 × 39,526.75
  4. Step 4: Simplify right side
    102,692.91x = 6,088,609,991.62
  5. Step 5: Solve for x
    x = 6,088,609,991.62/102,692.91
  6. Step 6: Final answer
    x = 59,289.49

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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.