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Finding the Fourth Proportional to 29,277.16, 43,915.85 and 7,090.50

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Solution

The fourth proportional to 29,277.16, 43,915.85 and 7,090.50 is: 10,635.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,277.16 : 43,915.85 = 7,090.50 : x
  2. Step 2: Convert to fraction form
    29,277.16/43,915.85 = 7,090.50/x
  3. Step 3: Cross multiply
    29,277.16x = 43,915.85 × 7,090.50
  4. Step 4: Simplify right side
    29,277.16x = 311,385,334.43
  5. Step 5: Solve for x
    x = 311,385,334.43/29,277.16
  6. Step 6: Final answer
    x = 10,635.78

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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.