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Finding the Fourth Proportional to 57,117.86, 85,674.36 and 15,564.86

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Solution

The fourth proportional to 57,117.86, 85,674.36 and 15,564.86 is: 23,346.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,117.86 : 85,674.36 = 15,564.86 : x
  2. Step 2: Convert to fraction form
    57,117.86/85,674.36 = 15,564.86/x
  3. Step 3: Cross multiply
    57,117.86x = 85,674.36 × 15,564.86
  4. Step 4: Simplify right side
    57,117.86x = 1,333,509,418.99
  5. Step 5: Solve for x
    x = 1,333,509,418.99/57,117.86
  6. Step 6: Final answer
    x = 23,346.63

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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.