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Finding the Fourth Proportional to 70,675.88, 105,987.90 and 20,743.16

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Solution

The fourth proportional to 70,675.88, 105,987.90 and 20,743.16 is: 31,107.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,675.88 : 105,987.90 = 20,743.16 : x
  2. Step 2: Convert to fraction form
    70,675.88/105,987.90 = 20,743.16/x
  3. Step 3: Cross multiply
    70,675.88x = 105,987.90 × 20,743.16
  4. Step 4: Simplify right side
    70,675.88x = 2,198,523,967.76
  5. Step 5: Solve for x
    x = 2,198,523,967.76/70,675.88
  6. Step 6: Final answer
    x = 31,107.13

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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.