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Finding the Fourth Proportional to 32,922.70, 49,384.05 and 8,298.70

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Solution

The fourth proportional to 32,922.70, 49,384.05 and 8,298.70 is: 12,448.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,922.70 : 49,384.05 = 8,298.70 : x
  2. Step 2: Convert to fraction form
    32,922.70/49,384.05 = 8,298.70/x
  3. Step 3: Cross multiply
    32,922.70x = 49,384.05 × 8,298.70
  4. Step 4: Simplify right side
    32,922.70x = 409,823,415.74
  5. Step 5: Solve for x
    x = 409,823,415.74/32,922.70
  6. Step 6: Final answer
    x = 12,448.05

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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.