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Finding the Fourth Proportional to 103,743.70, 155,692.35 and 41,458.90

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Solution

The fourth proportional to 103,743.70, 155,692.35 and 41,458.90 is: 62,219.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,743.70 : 155,692.35 = 41,458.90 : x
  2. Step 2: Convert to fraction form
    103,743.70/155,692.35 = 41,458.90/x
  3. Step 3: Cross multiply
    103,743.70x = 155,692.35 × 41,458.90
  4. Step 4: Simplify right side
    103,743.70x = 6,454,833,569.42
  5. Step 5: Solve for x
    x = 6,454,833,569.42/103,743.70
  6. Step 6: Final answer
    x = 62,219.04

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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.