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Finding the Fourth Proportional to 47,971.68, 66,142.08 and 39,444

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Solution

The fourth proportional to 47,971.68, 66,142.08 and 39,444 is: 54,384.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,971.68 : 66,142.08 = 39,444 : x
  2. Step 2: Convert to fraction form
    47,971.68/66,142.08 = 39,444/x
  3. Step 3: Cross multiply
    47,971.68x = 66,142.08 × 39,444
  4. Step 4: Simplify right side
    47,971.68x = 2,608,908,203.52
  5. Step 5: Solve for x
    x = 2,608,908,203.52/47,971.68
  6. Step 6: Final answer
    x = 54,384.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.