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Finding the Fourth Proportional to 76,173.76, 105,102.39 and 48,964.06

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Solution

The fourth proportional to 76,173.76, 105,102.39 and 48,964.06 is: 67,559.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,173.76 : 105,102.39 = 48,964.06 : x
  2. Step 2: Convert to fraction form
    76,173.76/105,102.39 = 48,964.06/x
  3. Step 3: Cross multiply
    76,173.76x = 105,102.39 × 48,964.06
  4. Step 4: Simplify right side
    76,173.76x = 5,146,239,730.10
  5. Step 5: Solve for x
    x = 5,146,239,730.10/76,173.76
  6. Step 6: Final answer
    x = 67,559.22

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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.