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Finding the Fourth Proportional to 76,110.30, 114,165.45 and 36,671.40

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Solution

The fourth proportional to 76,110.30, 114,165.45 and 36,671.40 is: 55,007.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,110.30 : 114,165.45 = 36,671.40 : x
  2. Step 2: Convert to fraction form
    76,110.30/114,165.45 = 36,671.40/x
  3. Step 3: Cross multiply
    76,110.30x = 114,165.45 × 36,671.40
  4. Step 4: Simplify right side
    76,110.30x = 4,186,606,883.13
  5. Step 5: Solve for x
    x = 4,186,606,883.13/76,110.30
  6. Step 6: Final answer
    x = 55,007.10

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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.