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Finding the Fourth Proportional to 102,489.84, 153,804.15 and 35,930.52

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Solution

The fourth proportional to 102,489.84, 153,804.15 and 35,930.52 is: 53,920.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,489.84 : 153,804.15 = 35,930.52 : x
  2. Step 2: Convert to fraction form
    102,489.84/153,804.15 = 35,930.52/x
  3. Step 3: Cross multiply
    102,489.84x = 153,804.15 × 35,930.52
  4. Step 4: Simplify right side
    102,489.84x = 5,526,263,087.66
  5. Step 5: Solve for x
    x = 5,526,263,087.66/102,489.84
  6. Step 6: Final answer
    x = 53,920.11

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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.