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Finding the Fourth Proportional to 76,274.60, 114,444.30 and 36,811.40

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Solution

The fourth proportional to 76,274.60, 114,444.30 and 36,811.40 is: 55,232.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,274.60 : 114,444.30 = 36,811.40 : x
  2. Step 2: Convert to fraction form
    76,274.60/114,444.30 = 36,811.40/x
  3. Step 3: Cross multiply
    76,274.60x = 114,444.30 × 36,811.40
  4. Step 4: Simplify right side
    76,274.60x = 4,212,854,905.02
  5. Step 5: Solve for x
    x = 4,212,854,905.02/76,274.60
  6. Step 6: Final answer
    x = 55,232.74

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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.