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Finding the Fourth Proportional to 52,213, 72,058.26 and 29,861.32

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Solution

The fourth proportional to 52,213, 72,058.26 and 29,861.32 is: 41,211.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,213 : 72,058.26 = 29,861.32 : x
  2. Step 2: Convert to fraction form
    52,213/72,058.26 = 29,861.32/x
  3. Step 3: Cross multiply
    52,213x = 72,058.26 × 29,861.32
  4. Step 4: Simplify right side
    52,213x = 2,151,754,760.50
  5. Step 5: Solve for x
    x = 2,151,754,760.50/52,213
  6. Step 6: Final answer
    x = 41,211.09

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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.