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Finding the Fourth Proportional to 48,973.70, 73,468.65 and 20,907.20

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Solution

The fourth proportional to 48,973.70, 73,468.65 and 20,907.20 is: 31,364.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,973.70 : 73,468.65 = 20,907.20 : x
  2. Step 2: Convert to fraction form
    48,973.70/73,468.65 = 20,907.20/x
  3. Step 3: Cross multiply
    48,973.70x = 73,468.65 × 20,907.20
  4. Step 4: Simplify right side
    48,973.70x = 1,536,023,759.28
  5. Step 5: Solve for x
    x = 1,536,023,759.28/48,973.70
  6. Step 6: Final answer
    x = 31,364.26

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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.