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Finding the Fourth Proportional to 76,414.80, 114,600 and 32,040.32

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Solution

The fourth proportional to 76,414.80, 114,600 and 32,040.32 is: 48,051.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,414.80 : 114,600 = 32,040.32 : x
  2. Step 2: Convert to fraction form
    76,414.80/114,600 = 32,040.32/x
  3. Step 3: Cross multiply
    76,414.80x = 114,600 × 32,040.32
  4. Step 4: Simplify right side
    76,414.80x = 3,671,820,672
  5. Step 5: Solve for x
    x = 3,671,820,672/76,414.80
  6. Step 6: Final answer
    x = 48,051.17

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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.