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Finding the Fourth Proportional to 76,934.05, 106,139.30 and 48,203.62

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Solution

The fourth proportional to 76,934.05, 106,139.30 and 48,203.62 is: 66,502.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,934.05 : 106,139.30 = 48,203.62 : x
  2. Step 2: Convert to fraction form
    76,934.05/106,139.30 = 48,203.62/x
  3. Step 3: Cross multiply
    76,934.05x = 106,139.30 × 48,203.62
  4. Step 4: Simplify right side
    76,934.05x = 5,116,297,842.17
  5. Step 5: Solve for x
    x = 5,116,297,842.17/76,934.05
  6. Step 6: Final answer
    x = 66,502.39

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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.