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Finding the Fourth Proportional to 76,305.72, 114,483.48 and 36,867.36

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Solution

The fourth proportional to 76,305.72, 114,483.48 and 36,867.36 is: 55,313.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,305.72 : 114,483.48 = 36,867.36 : x
  2. Step 2: Convert to fraction form
    76,305.72/114,483.48 = 36,867.36/x
  3. Step 3: Cross multiply
    76,305.72x = 114,483.48 × 36,867.36
  4. Step 4: Simplify right side
    76,305.72x = 4,220,703,671.21
  5. Step 5: Solve for x
    x = 4,220,703,671.21/76,305.72
  6. Step 6: Final answer
    x = 55,313.07

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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.