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Finding the Fourth Proportional to 52,751.68, 72,799.34 and 30,094.36

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Solution

The fourth proportional to 52,751.68, 72,799.34 and 30,094.36 is: 41,531.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,751.68 : 72,799.34 = 30,094.36 : x
  2. Step 2: Convert to fraction form
    52,751.68/72,799.34 = 30,094.36/x
  3. Step 3: Cross multiply
    52,751.68x = 72,799.34 × 30,094.36
  4. Step 4: Simplify right side
    52,751.68x = 2,190,849,213.25
  5. Step 5: Solve for x
    x = 2,190,849,213.25/52,751.68
  6. Step 6: Final answer
    x = 41,531.37

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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.