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Finding the Fourth Proportional to 76,951.47, 115,463.66 and 53,295.42

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Solution

The fourth proportional to 76,951.47, 115,463.66 and 53,295.42 is: 79,968.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,951.47 : 115,463.66 = 53,295.42 : x
  2. Step 2: Convert to fraction form
    76,951.47/115,463.66 = 53,295.42/x
  3. Step 3: Cross multiply
    76,951.47x = 115,463.66 × 53,295.42
  4. Step 4: Simplify right side
    76,951.47x = 6,153,683,987.96
  5. Step 5: Solve for x
    x = 6,153,683,987.96/76,951.47
  6. Step 6: Final answer
    x = 79,968.37

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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.