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Finding the Fourth Proportional to 76,470.47, 114,642.53 and 33,745.47

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Solution

The fourth proportional to 76,470.47, 114,642.53 and 33,745.47 is: 50,590.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,470.47 : 114,642.53 = 33,745.47 : x
  2. Step 2: Convert to fraction form
    76,470.47/114,642.53 = 33,745.47/x
  3. Step 3: Cross multiply
    76,470.47x = 114,642.53 × 33,745.47
  4. Step 4: Simplify right side
    76,470.47x = 3,868,665,888.11
  5. Step 5: Solve for x
    x = 3,868,665,888.11/76,470.47
  6. Step 6: Final answer
    x = 50,590.33

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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.