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Finding the Fourth Proportional to 76,164.36, 105,094.32 and 47,850

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Solution

The fourth proportional to 76,164.36, 105,094.32 and 47,850 is: 66,025.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,164.36 : 105,094.32 = 47,850 : x
  2. Step 2: Convert to fraction form
    76,164.36/105,094.32 = 47,850/x
  3. Step 3: Cross multiply
    76,164.36x = 105,094.32 × 47,850
  4. Step 4: Simplify right side
    76,164.36x = 5,028,763,212
  5. Step 5: Solve for x
    x = 5,028,763,212/76,164.36
  6. Step 6: Final answer
    x = 66,025.15

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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.