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Finding the Fourth Proportional to 50,838.48, 76,267.30 and 19,258

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Solution

The fourth proportional to 50,838.48, 76,267.30 and 19,258 is: 28,890.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,838.48 : 76,267.30 = 19,258 : x
  2. Step 2: Convert to fraction form
    50,838.48/76,267.30 = 19,258/x
  3. Step 3: Cross multiply
    50,838.48x = 76,267.30 × 19,258
  4. Step 4: Simplify right side
    50,838.48x = 1,468,755,663.40
  5. Step 5: Solve for x
    x = 1,468,755,663.40/50,838.48
  6. Step 6: Final answer
    x = 28,890.63

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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.