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Finding the Fourth Proportional to 48,907.68, 73,342.80 and 20,810.16

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Solution

The fourth proportional to 48,907.68, 73,342.80 and 20,810.16 is: 31,207.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,907.68 : 73,342.80 = 20,810.16 : x
  2. Step 2: Convert to fraction form
    48,907.68/73,342.80 = 20,810.16/x
  3. Step 3: Cross multiply
    48,907.68x = 73,342.80 × 20,810.16
  4. Step 4: Simplify right side
    48,907.68x = 1,526,275,402.85
  5. Step 5: Solve for x
    x = 1,526,275,402.85/48,907.68
  6. Step 6: Final answer
    x = 31,207.27

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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.