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Finding the Fourth Proportional to 52,876, 72,968.88 and 29,324

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Solution

The fourth proportional to 52,876, 72,968.88 and 29,324 is: 40,467.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,876 : 72,968.88 = 29,324 : x
  2. Step 2: Convert to fraction form
    52,876/72,968.88 = 29,324/x
  3. Step 3: Cross multiply
    52,876x = 72,968.88 × 29,324
  4. Step 4: Simplify right side
    52,876x = 2,139,739,437.12
  5. Step 5: Solve for x
    x = 2,139,739,437.12/52,876
  6. Step 6: Final answer
    x = 40,467.12

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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.