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Finding the Fourth Proportional to 27,110.20, 37,419.78 and 16,503.40

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Solution

The fourth proportional to 27,110.20, 37,419.78 and 16,503.40 is: 22,779.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,110.20 : 37,419.78 = 16,503.40 : x
  2. Step 2: Convert to fraction form
    27,110.20/37,419.78 = 16,503.40/x
  3. Step 3: Cross multiply
    27,110.20x = 37,419.78 × 16,503.40
  4. Step 4: Simplify right side
    27,110.20x = 617,553,597.25
  5. Step 5: Solve for x
    x = 617,553,597.25/27,110.20
  6. Step 6: Final answer
    x = 22,779.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.