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Finding the Fourth Proportional to 85,358.81, 127,950.74 and 35,467.88

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Solution

The fourth proportional to 85,358.81, 127,950.74 and 35,467.88 is: 53,165.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,358.81 : 127,950.74 = 35,467.88 : x
  2. Step 2: Convert to fraction form
    85,358.81/127,950.74 = 35,467.88/x
  3. Step 3: Cross multiply
    85,358.81x = 127,950.74 × 35,467.88
  4. Step 4: Simplify right side
    85,358.81x = 4,538,140,808.14
  5. Step 5: Solve for x
    x = 4,538,140,808.14/85,358.81
  6. Step 6: Final answer
    x = 53,165.46

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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.