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Finding the Fourth Proportional to 49,615.86, 74,346 and 42,189.78

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Solution

The fourth proportional to 49,615.86, 74,346 and 42,189.78 is: 63,218.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,615.86 : 74,346 = 42,189.78 : x
  2. Step 2: Convert to fraction form
    49,615.86/74,346 = 42,189.78/x
  3. Step 3: Cross multiply
    49,615.86x = 74,346 × 42,189.78
  4. Step 4: Simplify right side
    49,615.86x = 3,136,641,383.88
  5. Step 5: Solve for x
    x = 3,136,641,383.88/49,615.86
  6. Step 6: Final answer
    x = 63,218.52

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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.