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Finding the Fourth Proportional to 92,893.48, 128,191.62 and 52,057

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Solution

The fourth proportional to 92,893.48, 128,191.62 and 52,057 is: 71,837.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,893.48 : 128,191.62 = 52,057 : x
  2. Step 2: Convert to fraction form
    92,893.48/128,191.62 = 52,057/x
  3. Step 3: Cross multiply
    92,893.48x = 128,191.62 × 52,057
  4. Step 4: Simplify right side
    92,893.48x = 6,673,271,162.34
  5. Step 5: Solve for x
    x = 6,673,271,162.34/92,893.48
  6. Step 6: Final answer
    x = 71,837.89

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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.