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Finding the Fourth Proportional to 32,049.84, 48,066.12 and 14,502

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Solution

The fourth proportional to 32,049.84, 48,066.12 and 14,502 is: 21,749.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,049.84 : 48,066.12 = 14,502 : x
  2. Step 2: Convert to fraction form
    32,049.84/48,066.12 = 14,502/x
  3. Step 3: Cross multiply
    32,049.84x = 48,066.12 × 14,502
  4. Step 4: Simplify right side
    32,049.84x = 697,054,872.24
  5. Step 5: Solve for x
    x = 697,054,872.24/32,049.84
  6. Step 6: Final answer
    x = 21,749.09

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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.