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Finding the Fourth Proportional to 42,839.35, 64,300.53 and 20,668.31

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Solution

The fourth proportional to 42,839.35, 64,300.53 and 20,668.31 is: 31,022.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,839.35 : 64,300.53 = 20,668.31 : x
  2. Step 2: Convert to fraction form
    42,839.35/64,300.53 = 20,668.31/x
  3. Step 3: Cross multiply
    42,839.35x = 64,300.53 × 20,668.31
  4. Step 4: Simplify right side
    42,839.35x = 1,328,983,646.03
  5. Step 5: Solve for x
    x = 1,328,983,646.03/42,839.35
  6. Step 6: Final answer
    x = 31,022.50

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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.