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Finding the Fourth Proportional to 109,804.89, 164,632.80 and 34,902.57

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Solution

The fourth proportional to 109,804.89, 164,632.80 and 34,902.57 is: 52,330.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,804.89 : 164,632.80 = 34,902.57 : x
  2. Step 2: Convert to fraction form
    109,804.89/164,632.80 = 34,902.57/x
  3. Step 3: Cross multiply
    109,804.89x = 164,632.80 × 34,902.57
  4. Step 4: Simplify right side
    109,804.89x = 5,746,107,826.30
  5. Step 5: Solve for x
    x = 5,746,107,826.30/109,804.89
  6. Step 6: Final answer
    x = 52,330.16

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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.