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Finding the Fourth Proportional to 77,458, 116,179.71 and 24,867.94

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Solution

The fourth proportional to 77,458, 116,179.71 and 24,867.94 is: 37,299.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,458 : 116,179.71 = 24,867.94 : x
  2. Step 2: Convert to fraction form
    77,458/116,179.71 = 24,867.94/x
  3. Step 3: Cross multiply
    77,458x = 116,179.71 × 24,867.94
  4. Step 4: Simplify right side
    77,458x = 2,889,150,057.50
  5. Step 5: Solve for x
    x = 2,889,150,057.50/77,458
  6. Step 6: Final answer
    x = 37,299.57

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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.