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Finding the Fourth Proportional to 52,438.74, 78,627.72 and 35,818.84

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Solution

The fourth proportional to 52,438.74, 78,627.72 and 35,818.84 is: 53,707.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,438.74 : 78,627.72 = 35,818.84 : x
  2. Step 2: Convert to fraction form
    52,438.74/78,627.72 = 35,818.84/x
  3. Step 3: Cross multiply
    52,438.74x = 78,627.72 × 35,818.84
  4. Step 4: Simplify right side
    52,438.74x = 2,816,353,722.24
  5. Step 5: Solve for x
    x = 2,816,353,722.24/52,438.74
  6. Step 6: Final answer
    x = 53,707.50

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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.