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Finding the Fourth Proportional to 42,890.98, 64,338.52 and 20,723

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Solution

The fourth proportional to 42,890.98, 64,338.52 and 20,723 is: 31,085.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,890.98 : 64,338.52 = 20,723 : x
  2. Step 2: Convert to fraction form
    42,890.98/64,338.52 = 20,723/x
  3. Step 3: Cross multiply
    42,890.98x = 64,338.52 × 20,723
  4. Step 4: Simplify right side
    42,890.98x = 1,333,287,149.96
  5. Step 5: Solve for x
    x = 1,333,287,149.96/42,890.98
  6. Step 6: Final answer
    x = 31,085.49

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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.