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Finding the Fourth Proportional to 76,495.86, 114,704.28 and 34,339.77

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Solution

The fourth proportional to 76,495.86, 114,704.28 and 34,339.77 is: 51,491.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,495.86 : 114,704.28 = 34,339.77 : x
  2. Step 2: Convert to fraction form
    76,495.86/114,704.28 = 34,339.77/x
  3. Step 3: Cross multiply
    76,495.86x = 114,704.28 × 34,339.77
  4. Step 4: Simplify right side
    76,495.86x = 3,938,918,593.22
  5. Step 5: Solve for x
    x = 3,938,918,593.22/76,495.86
  6. Step 6: Final answer
    x = 51,491.92

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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.