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Finding the Fourth Proportional to 49,051.54, 67,692.61 and 34,737.02

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Solution

The fourth proportional to 49,051.54, 67,692.61 and 34,737.02 is: 47,938.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,051.54 : 67,692.61 = 34,737.02 : x
  2. Step 2: Convert to fraction form
    49,051.54/67,692.61 = 34,737.02/x
  3. Step 3: Cross multiply
    49,051.54x = 67,692.61 × 34,737.02
  4. Step 4: Simplify right side
    49,051.54x = 2,351,439,506.23
  5. Step 5: Solve for x
    x = 2,351,439,506.23/49,051.54
  6. Step 6: Final answer
    x = 47,938.14

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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.