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Finding the Fourth Proportional to 76,614.42, 114,935.76 and 34,495.56

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Solution

The fourth proportional to 76,614.42, 114,935.76 and 34,495.56 is: 51,749.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,614.42 : 114,935.76 = 34,495.56 : x
  2. Step 2: Convert to fraction form
    76,614.42/114,935.76 = 34,495.56/x
  3. Step 3: Cross multiply
    76,614.42x = 114,935.76 × 34,495.56
  4. Step 4: Simplify right side
    76,614.42x = 3,964,773,405.23
  5. Step 5: Solve for x
    x = 3,964,773,405.23/76,614.42
  6. Step 6: Final answer
    x = 51,749.70

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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.