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Finding the Fourth Proportional to 68,502.64, 102,784.74 and 43,536.22

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Solution

The fourth proportional to 68,502.64, 102,784.74 and 43,536.22 is: 65,323.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,502.64 : 102,784.74 = 43,536.22 : x
  2. Step 2: Convert to fraction form
    68,502.64/102,784.74 = 43,536.22/x
  3. Step 3: Cross multiply
    68,502.64x = 102,784.74 × 43,536.22
  4. Step 4: Simplify right side
    68,502.64x = 4,474,859,053.28
  5. Step 5: Solve for x
    x = 4,474,859,053.28/68,502.64
  6. Step 6: Final answer
    x = 65,323.89

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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.