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Finding the Fourth Proportional to 35,848, 53,773.44 and 11,224

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Solution

The fourth proportional to 35,848, 53,773.44 and 11,224 is: 16,836.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,848 : 53,773.44 = 11,224 : x
  2. Step 2: Convert to fraction form
    35,848/53,773.44 = 11,224/x
  3. Step 3: Cross multiply
    35,848x = 53,773.44 × 11,224
  4. Step 4: Simplify right side
    35,848x = 603,553,090.56
  5. Step 5: Solve for x
    x = 603,553,090.56/35,848
  6. Step 6: Final answer
    x = 16,836.45

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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.