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Finding the Fourth Proportional to 38,697.64, 53,533.38 and 37,297.96

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Solution

The fourth proportional to 38,697.64, 53,533.38 and 37,297.96 is: 51,597.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,697.64 : 53,533.38 = 37,297.96 : x
  2. Step 2: Convert to fraction form
    38,697.64/53,533.38 = 37,297.96/x
  3. Step 3: Cross multiply
    38,697.64x = 53,533.38 × 37,297.96
  4. Step 4: Simplify right side
    38,697.64x = 1,996,685,865.90
  5. Step 5: Solve for x
    x = 1,996,685,865.90/38,697.64
  6. Step 6: Final answer
    x = 51,597.10

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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.