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Finding the Fourth Proportional to 37,971.28, 52,425 and 33,985.48

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Solution

The fourth proportional to 37,971.28, 52,425 and 33,985.48 is: 46,922.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,971.28 : 52,425 = 33,985.48 : x
  2. Step 2: Convert to fraction form
    37,971.28/52,425 = 33,985.48/x
  3. Step 3: Cross multiply
    37,971.28x = 52,425 × 33,985.48
  4. Step 4: Simplify right side
    37,971.28x = 1,781,688,789.00
  5. Step 5: Solve for x
    x = 1,781,688,789.00/37,971.28
  6. Step 6: Final answer
    x = 46,922.01

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1.5x scale

Why These Related Problems?

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