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Finding the Fourth Proportional to 42,775, 64,119.84 and 20,582.08

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Solution

The fourth proportional to 42,775, 64,119.84 and 20,582.08 is: 30,852.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,775 : 64,119.84 = 20,582.08 : x
  2. Step 2: Convert to fraction form
    42,775/64,119.84 = 20,582.08/x
  3. Step 3: Cross multiply
    42,775x = 64,119.84 × 20,582.08
  4. Step 4: Simplify right side
    42,775x = 1,319,719,676.47
  5. Step 5: Solve for x
    x = 1,319,719,676.47/42,775
  6. Step 6: Final answer
    x = 30,852.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.