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Finding the Fourth Proportional to 57,152.98, 85,736.76 and 17,712.46

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Solution

The fourth proportional to 57,152.98, 85,736.76 and 17,712.46 is: 26,570.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,152.98 : 85,736.76 = 17,712.46 : x
  2. Step 2: Convert to fraction form
    57,152.98/85,736.76 = 17,712.46/x
  3. Step 3: Cross multiply
    57,152.98x = 85,736.76 × 17,712.46
  4. Step 4: Simplify right side
    57,152.98x = 1,518,608,932.03
  5. Step 5: Solve for x
    x = 1,518,608,932.03/57,152.98
  6. Step 6: Final answer
    x = 26,570.95

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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.