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Finding the Fourth Proportional to 83,576.34, 115,334.64 and 45,335.78

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Solution

The fourth proportional to 83,576.34, 115,334.64 and 45,335.78 is: 62,562.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,576.34 : 115,334.64 = 45,335.78 : x
  2. Step 2: Convert to fraction form
    83,576.34/115,334.64 = 45,335.78/x
  3. Step 3: Cross multiply
    83,576.34x = 115,334.64 × 45,335.78
  4. Step 4: Simplify right side
    83,576.34x = 5,228,785,865.42
  5. Step 5: Solve for x
    x = 5,228,785,865.42/83,576.34
  6. Step 6: Final answer
    x = 62,562.99

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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.