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Finding the Fourth Proportional to 76,203.54, 114,230 and 36,152.21

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Solution

The fourth proportional to 76,203.54, 114,230 and 36,152.21 is: 54,192.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,203.54 : 114,230 = 36,152.21 : x
  2. Step 2: Convert to fraction form
    76,203.54/114,230 = 36,152.21/x
  3. Step 3: Cross multiply
    76,203.54x = 114,230 × 36,152.21
  4. Step 4: Simplify right side
    76,203.54x = 4,129,666,948.30
  5. Step 5: Solve for x
    x = 4,129,666,948.30/76,203.54
  6. Step 6: Final answer
    x = 54,192.59

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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.