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Finding the Fourth Proportional to 113,910.48, 170,852.76 and 30,798

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Solution

The fourth proportional to 113,910.48, 170,852.76 and 30,798 is: 46,193.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,910.48 : 170,852.76 = 30,798 : x
  2. Step 2: Convert to fraction form
    113,910.48/170,852.76 = 30,798/x
  3. Step 3: Cross multiply
    113,910.48x = 170,852.76 × 30,798
  4. Step 4: Simplify right side
    113,910.48x = 5,261,923,302.48
  5. Step 5: Solve for x
    x = 5,261,923,302.48/113,910.48
  6. Step 6: Final answer
    x = 46,193.50

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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.