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Finding the Fourth Proportional to 85,299, 127,959.03 and 37,914

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Solution

The fourth proportional to 85,299, 127,959.03 and 37,914 is: 56,875.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,299 : 127,959.03 = 37,914 : x
  2. Step 2: Convert to fraction form
    85,299/127,959.03 = 37,914/x
  3. Step 3: Cross multiply
    85,299x = 127,959.03 × 37,914
  4. Step 4: Simplify right side
    85,299x = 4,851,438,663.42
  5. Step 5: Solve for x
    x = 4,851,438,663.42/85,299
  6. Step 6: Final answer
    x = 56,875.68

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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.