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Finding the Fourth Proportional to 29,968.76, 44,953.96 and 7,781.64

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Solution

The fourth proportional to 29,968.76, 44,953.96 and 7,781.64 is: 11,672.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,968.76 : 44,953.96 = 7,781.64 : x
  2. Step 2: Convert to fraction form
    29,968.76/44,953.96 = 7,781.64/x
  3. Step 3: Cross multiply
    29,968.76x = 44,953.96 × 7,781.64
  4. Step 4: Simplify right side
    29,968.76x = 349,815,533.29
  5. Step 5: Solve for x
    x = 349,815,533.29/29,968.76
  6. Step 6: Final answer
    x = 11,672.67

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1.5x scale

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.