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Finding the Fourth Proportional to 53,163, 73,364.94 and 29,289.69

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Solution

The fourth proportional to 53,163, 73,364.94 and 29,289.69 is: 40,419.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,163 : 73,364.94 = 29,289.69 : x
  2. Step 2: Convert to fraction form
    53,163/73,364.94 = 29,289.69/x
  3. Step 3: Cross multiply
    53,163x = 73,364.94 × 29,289.69
  4. Step 4: Simplify right side
    53,163x = 2,148,836,349.47
  5. Step 5: Solve for x
    x = 2,148,836,349.47/53,163
  6. Step 6: Final answer
    x = 40,419.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.