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Finding the Fourth Proportional to 99,360.84, 149,056.08 and 32,808

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Solution

The fourth proportional to 99,360.84, 149,056.08 and 32,808 is: 49,216.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,360.84 : 149,056.08 = 32,808 : x
  2. Step 2: Convert to fraction form
    99,360.84/149,056.08 = 32,808/x
  3. Step 3: Cross multiply
    99,360.84x = 149,056.08 × 32,808
  4. Step 4: Simplify right side
    99,360.84x = 4,890,231,872.64
  5. Step 5: Solve for x
    x = 4,890,231,872.64/99,360.84
  6. Step 6: Final answer
    x = 49,216.89

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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.