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Finding the Fourth Proportional to 42,182, 63,273.10 and 12,597.52

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Solution

The fourth proportional to 42,182, 63,273.10 and 12,597.52 is: 18,896.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,182 : 63,273.10 = 12,597.52 : x
  2. Step 2: Convert to fraction form
    42,182/63,273.10 = 12,597.52/x
  3. Step 3: Cross multiply
    42,182x = 63,273.10 × 12,597.52
  4. Step 4: Simplify right side
    42,182x = 797,084,142.71
  5. Step 5: Solve for x
    x = 797,084,142.71/42,182
  6. Step 6: Final answer
    x = 18,896.31

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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.