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Finding the Fourth Proportional to 52,573.76, 78,722.40 and 40,270.40

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Solution

The fourth proportional to 52,573.76, 78,722.40 and 40,270.40 is: 60,299.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,573.76 : 78,722.40 = 40,270.40 : x
  2. Step 2: Convert to fraction form
    52,573.76/78,722.40 = 40,270.40/x
  3. Step 3: Cross multiply
    52,573.76x = 78,722.40 × 40,270.40
  4. Step 4: Simplify right side
    52,573.76x = 3,170,182,536.96
  5. Step 5: Solve for x
    x = 3,170,182,536.96/52,573.76
  6. Step 6: Final answer
    x = 60,299.71

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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.