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Finding the Fourth Proportional to 42,788.68, 64,129.50 and 20,596.12

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Solution

The fourth proportional to 42,788.68, 64,129.50 and 20,596.12 is: 30,868.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,788.68 : 64,129.50 = 20,596.12 : x
  2. Step 2: Convert to fraction form
    42,788.68/64,129.50 = 20,596.12/x
  3. Step 3: Cross multiply
    42,788.68x = 64,129.50 × 20,596.12
  4. Step 4: Simplify right side
    42,788.68x = 1,320,818,877.54
  5. Step 5: Solve for x
    x = 1,320,818,877.54/42,788.68
  6. Step 6: Final answer
    x = 30,868.42

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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.