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Finding the Fourth Proportional to 102,956.88, 154,459.32 and 32,830.80

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Solution

The fourth proportional to 102,956.88, 154,459.32 and 32,830.80 is: 49,253.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,956.88 : 154,459.32 = 32,830.80 : x
  2. Step 2: Convert to fraction form
    102,956.88/154,459.32 = 32,830.80/x
  3. Step 3: Cross multiply
    102,956.88x = 154,459.32 × 32,830.80
  4. Step 4: Simplify right side
    102,956.88x = 5,071,023,043.06
  5. Step 5: Solve for x
    x = 5,071,023,043.06/102,956.88
  6. Step 6: Final answer
    x = 49,253.85

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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.