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Finding the Fourth Proportional to 102,992.16, 154,486.08 and 32,870.28

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Solution

The fourth proportional to 102,992.16, 154,486.08 and 32,870.28 is: 49,304.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,992.16 : 154,486.08 = 32,870.28 : x
  2. Step 2: Convert to fraction form
    102,992.16/154,486.08 = 32,870.28/x
  3. Step 3: Cross multiply
    102,992.16x = 154,486.08 × 32,870.28
  4. Step 4: Simplify right side
    102,992.16x = 5,078,000,705.70
  5. Step 5: Solve for x
    x = 5,078,000,705.70/102,992.16
  6. Step 6: Final answer
    x = 49,304.73

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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.