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Finding the Fourth Proportional to 42,668.50, 64,003.08 and 27,970.48

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Solution

The fourth proportional to 42,668.50, 64,003.08 and 27,970.48 is: 41,955.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,668.50 : 64,003.08 = 27,970.48 : x
  2. Step 2: Convert to fraction form
    42,668.50/64,003.08 = 27,970.48/x
  3. Step 3: Cross multiply
    42,668.50x = 64,003.08 × 27,970.48
  4. Step 4: Simplify right side
    42,668.50x = 1,790,196,869.08
  5. Step 5: Solve for x
    x = 1,790,196,869.08/42,668.50
  6. Step 6: Final answer
    x = 41,955.94

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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.