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Finding the Fourth Proportional to 57,315.48, 85,958.64 and 22,236

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Solution

The fourth proportional to 57,315.48, 85,958.64 and 22,236 is: 33,348.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,315.48 : 85,958.64 = 22,236 : x
  2. Step 2: Convert to fraction form
    57,315.48/85,958.64 = 22,236/x
  3. Step 3: Cross multiply
    57,315.48x = 85,958.64 × 22,236
  4. Step 4: Simplify right side
    57,315.48x = 1,911,376,319.04
  5. Step 5: Solve for x
    x = 1,911,376,319.04/57,315.48
  6. Step 6: Final answer
    x = 33,348.34

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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.