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Finding the Fourth Proportional to 76,495.74, 114,704 and 34,339.52

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Solution

The fourth proportional to 76,495.74, 114,704 and 34,339.52 is: 51,491.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,495.74 : 114,704 = 34,339.52 : x
  2. Step 2: Convert to fraction form
    76,495.74/114,704 = 34,339.52/x
  3. Step 3: Cross multiply
    76,495.74x = 114,704 × 34,339.52
  4. Step 4: Simplify right side
    76,495.74x = 3,938,880,302.08
  5. Step 5: Solve for x
    x = 3,938,880,302.08/76,495.74
  6. Step 6: Final answer
    x = 51,491.50

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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.