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Finding the Fourth Proportional to 105,040.52, 157,630.80 and 54,486.14

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Solution

The fourth proportional to 105,040.52, 157,630.80 and 54,486.14 is: 81,765.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,040.52 : 157,630.80 = 54,486.14 : x
  2. Step 2: Convert to fraction form
    105,040.52/157,630.80 = 54,486.14/x
  3. Step 3: Cross multiply
    105,040.52x = 157,630.80 × 54,486.14
  4. Step 4: Simplify right side
    105,040.52x = 8,588,693,837.11
  5. Step 5: Solve for x
    x = 8,588,693,837.11/105,040.52
  6. Step 6: Final answer
    x = 81,765.53

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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.