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Finding the Fourth Proportional to 72,928, 100,638.12 and 41,095

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Solution

The fourth proportional to 72,928, 100,638.12 and 41,095 is: 56,709.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,928 : 100,638.12 = 41,095 : x
  2. Step 2: Convert to fraction form
    72,928/100,638.12 = 41,095/x
  3. Step 3: Cross multiply
    72,928x = 100,638.12 × 41,095
  4. Step 4: Simplify right side
    72,928x = 4,135,723,541.40
  5. Step 5: Solve for x
    x = 4,135,723,541.40/72,928
  6. Step 6: Final answer
    x = 56,709.68

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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.