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Finding the Fourth Proportional to 51,076.60, 76,614.90 and 39,412.60

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Solution

The fourth proportional to 51,076.60, 76,614.90 and 39,412.60 is: 59,118.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,076.60 : 76,614.90 = 39,412.60 : x
  2. Step 2: Convert to fraction form
    51,076.60/76,614.90 = 39,412.60/x
  3. Step 3: Cross multiply
    51,076.60x = 76,614.90 × 39,412.60
  4. Step 4: Simplify right side
    51,076.60x = 3,019,592,407.74
  5. Step 5: Solve for x
    x = 3,019,592,407.74/51,076.60
  6. Step 6: Final answer
    x = 59,118.90

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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.