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Finding the Fourth Proportional to 52,706.55, 72,756.68 and 35,734.04

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Solution

The fourth proportional to 52,706.55, 72,756.68 and 35,734.04 is: 49,327.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,706.55 : 72,756.68 = 35,734.04 : x
  2. Step 2: Convert to fraction form
    52,706.55/72,756.68 = 35,734.04/x
  3. Step 3: Cross multiply
    52,706.55x = 72,756.68 × 35,734.04
  4. Step 4: Simplify right side
    52,706.55x = 2,599,890,113.39
  5. Step 5: Solve for x
    x = 2,599,890,113.39/52,706.55
  6. Step 6: Final answer
    x = 49,327.65

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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.