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Finding the Fourth Proportional to 76,138.58, 114,207.51 and 50,784.50

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Solution

The fourth proportional to 76,138.58, 114,207.51 and 50,784.50 is: 76,176.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,138.58 : 114,207.51 = 50,784.50 : x
  2. Step 2: Convert to fraction form
    76,138.58/114,207.51 = 50,784.50/x
  3. Step 3: Cross multiply
    76,138.58x = 114,207.51 × 50,784.50
  4. Step 4: Simplify right side
    76,138.58x = 5,799,971,291.60
  5. Step 5: Solve for x
    x = 5,799,971,291.60/76,138.58
  6. Step 6: Final answer
    x = 76,176.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.