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Finding the Fourth Proportional to 52,594.89, 78,893.03 and 17,534.55

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Solution

The fourth proportional to 52,594.89, 78,893.03 and 17,534.55 is: 26,302.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,594.89 : 78,893.03 = 17,534.55 : x
  2. Step 2: Convert to fraction form
    52,594.89/78,893.03 = 17,534.55/x
  3. Step 3: Cross multiply
    52,594.89x = 78,893.03 × 17,534.55
  4. Step 4: Simplify right side
    52,594.89x = 1,383,353,888.75
  5. Step 5: Solve for x
    x = 1,383,353,888.75/52,594.89
  6. Step 6: Final answer
    x = 26,302.06

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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.