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Finding the Fourth Proportional to 52,047.18, 71,825.32 and 28,173.84

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Solution

The fourth proportional to 52,047.18, 71,825.32 and 28,173.84 is: 38,880.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,047.18 : 71,825.32 = 28,173.84 : x
  2. Step 2: Convert to fraction form
    52,047.18/71,825.32 = 28,173.84/x
  3. Step 3: Cross multiply
    52,047.18x = 71,825.32 × 28,173.84
  4. Step 4: Simplify right side
    52,047.18x = 2,023,595,073.63
  5. Step 5: Solve for x
    x = 2,023,595,073.63/52,047.18
  6. Step 6: Final answer
    x = 38,880.01

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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.