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Finding the Fourth Proportional to 81,274.20, 121,924.84 and 27,964

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Solution

The fourth proportional to 81,274.20, 121,924.84 and 27,964 is: 41,950.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,274.20 : 121,924.84 = 27,964 : x
  2. Step 2: Convert to fraction form
    81,274.20/121,924.84 = 27,964/x
  3. Step 3: Cross multiply
    81,274.20x = 121,924.84 × 27,964
  4. Step 4: Simplify right side
    81,274.20x = 3,409,506,225.76
  5. Step 5: Solve for x
    x = 3,409,506,225.76/81,274.20
  6. Step 6: Final answer
    x = 41,950.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.