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Finding the Fourth Proportional to 44,581.76, 61,512 and 24,709.76

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Solution

The fourth proportional to 44,581.76, 61,512 and 24,709.76 is: 34,093.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,581.76 : 61,512 = 24,709.76 : x
  2. Step 2: Convert to fraction form
    44,581.76/61,512 = 24,709.76/x
  3. Step 3: Cross multiply
    44,581.76x = 61,512 × 24,709.76
  4. Step 4: Simplify right side
    44,581.76x = 1,519,946,757.12
  5. Step 5: Solve for x
    x = 1,519,946,757.12/44,581.76
  6. Step 6: Final answer
    x = 34,093.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.