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Finding the Fourth Proportional to 57,047.25, 85,582.28 and 17,602.88

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Solution

The fourth proportional to 57,047.25, 85,582.28 and 17,602.88 is: 26,407.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,047.25 : 85,582.28 = 17,602.88 : x
  2. Step 2: Convert to fraction form
    57,047.25/85,582.28 = 17,602.88/x
  3. Step 3: Cross multiply
    57,047.25x = 85,582.28 × 17,602.88
  4. Step 4: Simplify right side
    57,047.25x = 1,506,494,604.97
  5. Step 5: Solve for x
    x = 1,506,494,604.97/57,047.25
  6. Step 6: Final answer
    x = 26,407.84

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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.