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Finding the Fourth Proportional to 76,485.44, 114,748.42 and 26,565.42

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Solution

The fourth proportional to 76,485.44, 114,748.42 and 26,565.42 is: 39,855.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,485.44 : 114,748.42 = 26,565.42 : x
  2. Step 2: Convert to fraction form
    76,485.44/114,748.42 = 26,565.42/x
  3. Step 3: Cross multiply
    76,485.44x = 114,748.42 × 26,565.42
  4. Step 4: Simplify right side
    76,485.44x = 3,048,339,971.64
  5. Step 5: Solve for x
    x = 3,048,339,971.64/76,485.44
  6. Step 6: Final answer
    x = 39,855.17

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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.