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Finding the Fourth Proportional to 57,145.78, 85,666.17 and 19,696.96

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Solution

The fourth proportional to 57,145.78, 85,666.17 and 19,696.96 is: 29,527.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,145.78 : 85,666.17 = 19,696.96 : x
  2. Step 2: Convert to fraction form
    57,145.78/85,666.17 = 19,696.96/x
  3. Step 3: Cross multiply
    57,145.78x = 85,666.17 × 19,696.96
  4. Step 4: Simplify right side
    57,145.78x = 1,687,363,123.84
  5. Step 5: Solve for x
    x = 1,687,363,123.84/57,145.78
  6. Step 6: Final answer
    x = 29,527.34

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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.