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Finding the Fourth Proportional to 76,996.56, 115,495.56 and 24,402

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Solution

The fourth proportional to 76,996.56, 115,495.56 and 24,402 is: 36,603.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,996.56 : 115,495.56 = 24,402 : x
  2. Step 2: Convert to fraction form
    76,996.56/115,495.56 = 24,402/x
  3. Step 3: Cross multiply
    76,996.56x = 115,495.56 × 24,402
  4. Step 4: Simplify right side
    76,996.56x = 2,818,322,655.12
  5. Step 5: Solve for x
    x = 2,818,322,655.12/76,996.56
  6. Step 6: Final answer
    x = 36,603.23

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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.