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Finding the Fourth Proportional to 91,855.40, 137,741.54 and 32,692.64

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Solution

The fourth proportional to 91,855.40, 137,741.54 and 32,692.64 is: 49,024.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,855.40 : 137,741.54 = 32,692.64 : x
  2. Step 2: Convert to fraction form
    91,855.40/137,741.54 = 32,692.64/x
  3. Step 3: Cross multiply
    91,855.40x = 137,741.54 × 32,692.64
  4. Step 4: Simplify right side
    91,855.40x = 4,503,133,728.09
  5. Step 5: Solve for x
    x = 4,503,133,728.09/91,855.40
  6. Step 6: Final answer
    x = 49,024.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.