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Finding the Fourth Proportional to 34,821.54, 48,053.07 and 19,713.96

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Solution

The fourth proportional to 34,821.54, 48,053.07 and 19,713.96 is: 27,204.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,821.54 : 48,053.07 = 19,713.96 : x
  2. Step 2: Convert to fraction form
    34,821.54/48,053.07 = 19,713.96/x
  3. Step 3: Cross multiply
    34,821.54x = 48,053.07 × 19,713.96
  4. Step 4: Simplify right side
    34,821.54x = 947,316,299.86
  5. Step 5: Solve for x
    x = 947,316,299.86/34,821.54
  6. Step 6: Final answer
    x = 27,204.89

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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.