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Finding the Fourth Proportional to 78,832.26, 108,750.93 and 53,347.56

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Solution

The fourth proportional to 78,832.26, 108,750.93 and 53,347.56 is: 73,594.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,832.26 : 108,750.93 = 53,347.56 : x
  2. Step 2: Convert to fraction form
    78,832.26/108,750.93 = 53,347.56/x
  3. Step 3: Cross multiply
    78,832.26x = 108,750.93 × 53,347.56
  4. Step 4: Simplify right side
    78,832.26x = 5,801,596,763.23
  5. Step 5: Solve for x
    x = 5,801,596,763.23/78,832.26
  6. Step 6: Final answer
    x = 73,594.20

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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.