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Finding the Fourth Proportional to 75,277.72, 103,792.44 and 65,050.48

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Solution

The fourth proportional to 75,277.72, 103,792.44 and 65,050.48 is: 89,691.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,277.72 : 103,792.44 = 65,050.48 : x
  2. Step 2: Convert to fraction form
    75,277.72/103,792.44 = 65,050.48/x
  3. Step 3: Cross multiply
    75,277.72x = 103,792.44 × 65,050.48
  4. Step 4: Simplify right side
    75,277.72x = 6,751,748,042.37
  5. Step 5: Solve for x
    x = 6,751,748,042.37/75,277.72
  6. Step 6: Final answer
    x = 89,691.19

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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.