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Finding the Fourth Proportional to 83,274.64, 114,918.80 and 45,548.88

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Solution

The fourth proportional to 83,274.64, 114,918.80 and 45,548.88 is: 62,857.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,274.64 : 114,918.80 = 45,548.88 : x
  2. Step 2: Convert to fraction form
    83,274.64/114,918.80 = 45,548.88/x
  3. Step 3: Cross multiply
    83,274.64x = 114,918.80 × 45,548.88
  4. Step 4: Simplify right side
    83,274.64x = 5,234,422,630.94
  5. Step 5: Solve for x
    x = 5,234,422,630.94/83,274.64
  6. Step 6: Final answer
    x = 62,857.34

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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.