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Finding the Fourth Proportional to 105,051, 157,586.12 and 41,855.81

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Solution

The fourth proportional to 105,051, 157,586.12 and 41,855.81 is: 62,787.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,051 : 157,586.12 = 41,855.81 : x
  2. Step 2: Convert to fraction form
    105,051/157,586.12 = 41,855.81/x
  3. Step 3: Cross multiply
    105,051x = 157,586.12 × 41,855.81
  4. Step 4: Simplify right side
    105,051x = 6,595,893,700.15
  5. Step 5: Solve for x
    x = 6,595,893,700.15/105,051
  6. Step 6: Final answer
    x = 62,787.54

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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.