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Finding the Fourth Proportional to 57,076.80, 85,615.20 and 23,785.80

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Solution

The fourth proportional to 57,076.80, 85,615.20 and 23,785.80 is: 35,678.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,076.80 : 85,615.20 = 23,785.80 : x
  2. Step 2: Convert to fraction form
    57,076.80/85,615.20 = 23,785.80/x
  3. Step 3: Cross multiply
    57,076.80x = 85,615.20 × 23,785.80
  4. Step 4: Simplify right side
    57,076.80x = 2,036,426,024.16
  5. Step 5: Solve for x
    x = 2,036,426,024.16/57,076.80
  6. Step 6: Final answer
    x = 35,678.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.