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Finding the Fourth Proportional to 76,950.63, 115,398.32 and 32,580.54

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Solution

The fourth proportional to 76,950.63, 115,398.32 and 32,580.54 is: 48,859.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,950.63 : 115,398.32 = 32,580.54 : x
  2. Step 2: Convert to fraction form
    76,950.63/115,398.32 = 32,580.54/x
  3. Step 3: Cross multiply
    76,950.63x = 115,398.32 × 32,580.54
  4. Step 4: Simplify right side
    76,950.63x = 3,759,739,417.79
  5. Step 5: Solve for x
    x = 3,759,739,417.79/76,950.63
  6. Step 6: Final answer
    x = 48,859.11

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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.