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Finding the Fourth Proportional to 29,756.40, 44,634.60 and 8,977.20

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Solution

The fourth proportional to 29,756.40, 44,634.60 and 8,977.20 is: 13,465.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,756.40 : 44,634.60 = 8,977.20 : x
  2. Step 2: Convert to fraction form
    29,756.40/44,634.60 = 8,977.20/x
  3. Step 3: Cross multiply
    29,756.40x = 44,634.60 × 8,977.20
  4. Step 4: Simplify right side
    29,756.40x = 400,693,731.12
  5. Step 5: Solve for x
    x = 400,693,731.12/29,756.40
  6. Step 6: Final answer
    x = 13,465.80

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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.