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Finding the Fourth Proportional to 44,880.96, 61,932.91 and 24,738

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Solution

The fourth proportional to 44,880.96, 61,932.91 and 24,738 is: 34,136.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,880.96 : 61,932.91 = 24,738 : x
  2. Step 2: Convert to fraction form
    44,880.96/61,932.91 = 24,738/x
  3. Step 3: Cross multiply
    44,880.96x = 61,932.91 × 24,738
  4. Step 4: Simplify right side
    44,880.96x = 1,532,096,327.58
  5. Step 5: Solve for x
    x = 1,532,096,327.58/44,880.96
  6. Step 6: Final answer
    x = 34,136.89

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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.