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Finding the Fourth Proportional to 101,996.48, 153,054.60 and 42,827.60

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Solution

The fourth proportional to 101,996.48, 153,054.60 and 42,827.60 is: 64,266.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,996.48 : 153,054.60 = 42,827.60 : x
  2. Step 2: Convert to fraction form
    101,996.48/153,054.60 = 42,827.60/x
  3. Step 3: Cross multiply
    101,996.48x = 153,054.60 × 42,827.60
  4. Step 4: Simplify right side
    101,996.48x = 6,554,961,186.96
  5. Step 5: Solve for x
    x = 6,554,961,186.96/101,996.48
  6. Step 6: Final answer
    x = 64,266.54

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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.