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Finding the Fourth Proportional to 84,010.52, 115,897.02 and 48,193.40

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Solution

The fourth proportional to 84,010.52, 115,897.02 and 48,193.40 is: 66,485.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,010.52 : 115,897.02 = 48,193.40 : x
  2. Step 2: Convert to fraction form
    84,010.52/115,897.02 = 48,193.40/x
  3. Step 3: Cross multiply
    84,010.52x = 115,897.02 × 48,193.40
  4. Step 4: Simplify right side
    84,010.52x = 5,585,471,443.67
  5. Step 5: Solve for x
    x = 5,585,471,443.67/84,010.52
  6. Step 6: Final answer
    x = 66,485.38

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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.