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Finding the Fourth Proportional to 107,536.89, 148,400.09 and 59,789.82

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Solution

The fourth proportional to 107,536.89, 148,400.09 and 59,789.82 is: 82,509.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,536.89 : 148,400.09 = 59,789.82 : x
  2. Step 2: Convert to fraction form
    107,536.89/148,400.09 = 59,789.82/x
  3. Step 3: Cross multiply
    107,536.89x = 148,400.09 × 59,789.82
  4. Step 4: Simplify right side
    107,536.89x = 8,872,814,370.13
  5. Step 5: Solve for x
    x = 8,872,814,370.13/107,536.89
  6. Step 6: Final answer
    x = 82,509.49

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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.