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Finding the Fourth Proportional to 76,898.64, 106,172.58 and 49,740.54

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Solution

The fourth proportional to 76,898.64, 106,172.58 and 49,740.54 is: 68,675.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,898.64 : 106,172.58 = 49,740.54 : x
  2. Step 2: Convert to fraction form
    76,898.64/106,172.58 = 49,740.54/x
  3. Step 3: Cross multiply
    76,898.64x = 106,172.58 × 49,740.54
  4. Step 4: Simplify right side
    76,898.64x = 5,281,081,462.39
  5. Step 5: Solve for x
    x = 5,281,081,462.39/76,898.64
  6. Step 6: Final answer
    x = 68,675.88

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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.