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Finding the Fourth Proportional to 102,584.88, 153,893.52 and 39,402.48

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Solution

The fourth proportional to 102,584.88, 153,893.52 and 39,402.48 is: 59,109.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,584.88 : 153,893.52 = 39,402.48 : x
  2. Step 2: Convert to fraction form
    102,584.88/153,893.52 = 39,402.48/x
  3. Step 3: Cross multiply
    102,584.88x = 153,893.52 × 39,402.48
  4. Step 4: Simplify right side
    102,584.88x = 6,063,786,343.93
  5. Step 5: Solve for x
    x = 6,063,786,343.93/102,584.88
  6. Step 6: Final answer
    x = 59,109.94

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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.