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Finding the Fourth Proportional to 122,851, 184,302.42 and 48,979

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Solution

The fourth proportional to 122,851, 184,302.42 and 48,979 is: 73,478.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,851 : 184,302.42 = 48,979 : x
  2. Step 2: Convert to fraction form
    122,851/184,302.42 = 48,979/x
  3. Step 3: Cross multiply
    122,851x = 184,302.42 × 48,979
  4. Step 4: Simplify right side
    122,851x = 9,026,948,229.18
  5. Step 5: Solve for x
    x = 9,026,948,229.18/122,851
  6. Step 6: Final answer
    x = 73,478.83

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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.