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Finding the Fourth Proportional to 49,747.60, 74,707.80 and 26,419.60

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Solution

The fourth proportional to 49,747.60, 74,707.80 and 26,419.60 is: 39,675.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,747.60 : 74,707.80 = 26,419.60 : x
  2. Step 2: Convert to fraction form
    49,747.60/74,707.80 = 26,419.60/x
  3. Step 3: Cross multiply
    49,747.60x = 74,707.80 × 26,419.60
  4. Step 4: Simplify right side
    49,747.60x = 1,973,750,192.88
  5. Step 5: Solve for x
    x = 1,973,750,192.88/49,747.60
  6. Step 6: Final answer
    x = 39,675.28

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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.