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Finding the Fourth Proportional to 69,707.59, 105,086.59 and 65,197.51

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Solution

The fourth proportional to 69,707.59, 105,086.59 and 65,197.51 is: 98,287.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,707.59 : 105,086.59 = 65,197.51 : x
  2. Step 2: Convert to fraction form
    69,707.59/105,086.59 = 65,197.51/x
  3. Step 3: Cross multiply
    69,707.59x = 105,086.59 × 65,197.51
  4. Step 4: Simplify right side
    69,707.59x = 6,851,384,002.39
  5. Step 5: Solve for x
    x = 6,851,384,002.39/69,707.59
  6. Step 6: Final answer
    x = 98,287.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.