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Finding the Fourth Proportional to 57,053.80, 78,729.12 and 32,848.26

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Solution

The fourth proportional to 57,053.80, 78,729.12 and 32,848.26 is: 45,327.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,053.80 : 78,729.12 = 32,848.26 : x
  2. Step 2: Convert to fraction form
    57,053.80/78,729.12 = 32,848.26/x
  3. Step 3: Cross multiply
    57,053.80x = 78,729.12 × 32,848.26
  4. Step 4: Simplify right side
    57,053.80x = 2,586,114,603.33
  5. Step 5: Solve for x
    x = 2,586,114,603.33/57,053.80
  6. Step 6: Final answer
    x = 45,327.65

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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.