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Finding the Fourth Proportional to 81,770.40, 122,640.06 and 25,602

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Solution

The fourth proportional to 81,770.40, 122,640.06 and 25,602 is: 38,398.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,770.40 : 122,640.06 = 25,602 : x
  2. Step 2: Convert to fraction form
    81,770.40/122,640.06 = 25,602/x
  3. Step 3: Cross multiply
    81,770.40x = 122,640.06 × 25,602
  4. Step 4: Simplify right side
    81,770.40x = 3,139,830,816.12
  5. Step 5: Solve for x
    x = 3,139,830,816.12/81,770.40
  6. Step 6: Final answer
    x = 38,398.13

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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.