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Finding the Fourth Proportional to 57,192.48, 85,730.40 and 34,992

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Solution

The fourth proportional to 57,192.48, 85,730.40 and 34,992 is: 52,452.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,192.48 : 85,730.40 = 34,992 : x
  2. Step 2: Convert to fraction form
    57,192.48/85,730.40 = 34,992/x
  3. Step 3: Cross multiply
    57,192.48x = 85,730.40 × 34,992
  4. Step 4: Simplify right side
    57,192.48x = 2,999,878,156.80
  5. Step 5: Solve for x
    x = 2,999,878,156.80/57,192.48
  6. Step 6: Final answer
    x = 52,452.32

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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.