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Finding the Fourth Proportional to 76,203.40, 114,344 and 36,794.20

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Solution

The fourth proportional to 76,203.40, 114,344 and 36,794.20 is: 55,210.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,203.40 : 114,344 = 36,794.20 : x
  2. Step 2: Convert to fraction form
    76,203.40/114,344 = 36,794.20/x
  3. Step 3: Cross multiply
    76,203.40x = 114,344 × 36,794.20
  4. Step 4: Simplify right side
    76,203.40x = 4,207,196,004.80
  5. Step 5: Solve for x
    x = 4,207,196,004.80/76,203.40
  6. Step 6: Final answer
    x = 55,210.08

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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.