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Finding the Fourth Proportional to 65,107.69, 97,502.24 and 58,796.81

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Solution

The fourth proportional to 65,107.69, 97,502.24 and 58,796.81 is: 88,051.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,107.69 : 97,502.24 = 58,796.81 : x
  2. Step 2: Convert to fraction form
    65,107.69/97,502.24 = 58,796.81/x
  3. Step 3: Cross multiply
    65,107.69x = 97,502.24 × 58,796.81
  4. Step 4: Simplify right side
    65,107.69x = 5,732,820,679.85
  5. Step 5: Solve for x
    x = 5,732,820,679.85/65,107.69
  6. Step 6: Final answer
    x = 88,051.36

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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.