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Finding the Fourth Proportional to 27,420.40, 41,011.71 and 16,148.89

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Solution

The fourth proportional to 27,420.40, 41,011.71 and 16,148.89 is: 24,153.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,420.40 : 41,011.71 = 16,148.89 : x
  2. Step 2: Convert to fraction form
    27,420.40/41,011.71 = 16,148.89/x
  3. Step 3: Cross multiply
    27,420.40x = 41,011.71 × 16,148.89
  4. Step 4: Simplify right side
    27,420.40x = 662,293,593.50
  5. Step 5: Solve for x
    x = 662,293,593.50/27,420.40
  6. Step 6: Final answer
    x = 24,153.32

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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.