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Finding the Fourth Proportional to 35,621, 53,432.22 and 10,997

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Solution

The fourth proportional to 35,621, 53,432.22 and 10,997 is: 16,495.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,621 : 53,432.22 = 10,997 : x
  2. Step 2: Convert to fraction form
    35,621/53,432.22 = 10,997/x
  3. Step 3: Cross multiply
    35,621x = 53,432.22 × 10,997
  4. Step 4: Simplify right side
    35,621x = 587,594,123.34
  5. Step 5: Solve for x
    x = 587,594,123.34/35,621
  6. Step 6: Final answer
    x = 16,495.72

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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.