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Finding the Fourth Proportional to 76,563.83, 114,728.81 and 32,166.32

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Solution

The fourth proportional to 76,563.83, 114,728.81 and 32,166.32 is: 48,200.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,563.83 : 114,728.81 = 32,166.32 : x
  2. Step 2: Convert to fraction form
    76,563.83/114,728.81 = 32,166.32/x
  3. Step 3: Cross multiply
    76,563.83x = 114,728.81 × 32,166.32
  4. Step 4: Simplify right side
    76,563.83x = 3,690,402,881.20
  5. Step 5: Solve for x
    x = 3,690,402,881.20/76,563.83
  6. Step 6: Final answer
    x = 48,200.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.