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Finding the Fourth Proportional to 76,802.42, 106,007.38 and 50,018.42

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Solution

The fourth proportional to 76,802.42, 106,007.38 and 50,018.42 is: 69,038.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,802.42 : 106,007.38 = 50,018.42 : x
  2. Step 2: Convert to fraction form
    76,802.42/106,007.38 = 50,018.42/x
  3. Step 3: Cross multiply
    76,802.42x = 106,007.38 × 50,018.42
  4. Step 4: Simplify right side
    76,802.42x = 5,302,321,000.86
  5. Step 5: Solve for x
    x = 5,302,321,000.86/76,802.42
  6. Step 6: Final answer
    x = 69,038.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.