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Finding the Fourth Proportional to 48,594.78, 72,860.97 and 20,507.16

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Solution

The fourth proportional to 48,594.78, 72,860.97 and 20,507.16 is: 30,747.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,594.78 : 72,860.97 = 20,507.16 : x
  2. Step 2: Convert to fraction form
    48,594.78/72,860.97 = 20,507.16/x
  3. Step 3: Cross multiply
    48,594.78x = 72,860.97 × 20,507.16
  4. Step 4: Simplify right side
    48,594.78x = 1,494,171,569.55
  5. Step 5: Solve for x
    x = 1,494,171,569.55/48,594.78
  6. Step 6: Final answer
    x = 30,747.57

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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.