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Finding the Fourth Proportional to 52,412.46, 72,325.52 and 29,751.90

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Solution

The fourth proportional to 52,412.46, 72,325.52 and 29,751.90 is: 41,055.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,412.46 : 72,325.52 = 29,751.90 : x
  2. Step 2: Convert to fraction form
    52,412.46/72,325.52 = 29,751.90/x
  3. Step 3: Cross multiply
    52,412.46x = 72,325.52 × 29,751.90
  4. Step 4: Simplify right side
    52,412.46x = 2,151,821,638.49
  5. Step 5: Solve for x
    x = 2,151,821,638.49/52,412.46
  6. Step 6: Final answer
    x = 41,055.54

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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.