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Finding the Fourth Proportional to 76,488.93, 114,678.44 and 35,939.58

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Solution

The fourth proportional to 76,488.93, 114,678.44 and 35,939.58 is: 53,883.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,488.93 : 114,678.44 = 35,939.58 : x
  2. Step 2: Convert to fraction form
    76,488.93/114,678.44 = 35,939.58/x
  3. Step 3: Cross multiply
    76,488.93x = 114,678.44 × 35,939.58
  4. Step 4: Simplify right side
    76,488.93x = 4,121,494,502.42
  5. Step 5: Solve for x
    x = 4,121,494,502.42/76,488.93
  6. Step 6: Final answer
    x = 53,883.54

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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.