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Finding the Fourth Proportional to 39,100.84, 58,654.71 and 11,021.13

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Solution

The fourth proportional to 39,100.84, 58,654.71 and 11,021.13 is: 16,532.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,100.84 : 58,654.71 = 11,021.13 : x
  2. Step 2: Convert to fraction form
    39,100.84/58,654.71 = 11,021.13/x
  3. Step 3: Cross multiply
    39,100.84x = 58,654.71 × 11,021.13
  4. Step 4: Simplify right side
    39,100.84x = 646,441,184.02
  5. Step 5: Solve for x
    x = 646,441,184.02/39,100.84
  6. Step 6: Final answer
    x = 16,532.67

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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.