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Finding the Fourth Proportional to 57,703.40, 86,593.76 and 20,263.61

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Solution

The fourth proportional to 57,703.40, 86,593.76 and 20,263.61 is: 30,409.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,703.40 : 86,593.76 = 20,263.61 : x
  2. Step 2: Convert to fraction form
    57,703.40/86,593.76 = 20,263.61/x
  3. Step 3: Cross multiply
    57,703.40x = 86,593.76 × 20,263.61
  4. Step 4: Simplify right side
    57,703.40x = 1,754,702,372.23
  5. Step 5: Solve for x
    x = 1,754,702,372.23/57,703.40
  6. Step 6: Final answer
    x = 30,409.00

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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.