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Finding the Fourth Proportional to 38,533.76, 57,898.08 and 36,978.56

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Solution

The fourth proportional to 38,533.76, 57,898.08 and 36,978.56 is: 55,561.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,533.76 : 57,898.08 = 36,978.56 : x
  2. Step 2: Convert to fraction form
    38,533.76/57,898.08 = 36,978.56/x
  3. Step 3: Cross multiply
    38,533.76x = 57,898.08 × 36,978.56
  4. Step 4: Simplify right side
    38,533.76x = 2,140,987,625.16
  5. Step 5: Solve for x
    x = 2,140,987,625.16/38,533.76
  6. Step 6: Final answer
    x = 55,561.35

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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.