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Finding the Fourth Proportional to 53,750.98, 80,598.80 and 24,143.40

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Solution

The fourth proportional to 53,750.98, 80,598.80 and 24,143.40 is: 36,202.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,750.98 : 80,598.80 = 24,143.40 : x
  2. Step 2: Convert to fraction form
    53,750.98/80,598.80 = 24,143.40/x
  3. Step 3: Cross multiply
    53,750.98x = 80,598.80 × 24,143.40
  4. Step 4: Simplify right side
    53,750.98x = 1,945,929,067.92
  5. Step 5: Solve for x
    x = 1,945,929,067.92/53,750.98
  6. Step 6: Final answer
    x = 36,202.67

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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.