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Finding the Fourth Proportional to 52,353, 72,219.06 and 36,409.74

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Solution

The fourth proportional to 52,353, 72,219.06 and 36,409.74 is: 50,225.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,353 : 72,219.06 = 36,409.74 : x
  2. Step 2: Convert to fraction form
    52,353/72,219.06 = 36,409.74/x
  3. Step 3: Cross multiply
    52,353x = 72,219.06 × 36,409.74
  4. Step 4: Simplify right side
    52,353x = 2,629,477,197.64
  5. Step 5: Solve for x
    x = 2,629,477,197.64/52,353
  6. Step 6: Final answer
    x = 50,225.91

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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.