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Finding the Fourth Proportional to 102,713.75, 154,083.59 and 35,258.93

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Solution

The fourth proportional to 102,713.75, 154,083.59 and 35,258.93 is: 52,892.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,713.75 : 154,083.59 = 35,258.93 : x
  2. Step 2: Convert to fraction form
    102,713.75/154,083.59 = 35,258.93/x
  3. Step 3: Cross multiply
    102,713.75x = 154,083.59 × 35,258.93
  4. Step 4: Simplify right side
    102,713.75x = 5,432,822,513.96
  5. Step 5: Solve for x
    x = 5,432,822,513.96/102,713.75
  6. Step 6: Final answer
    x = 52,892.85

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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.