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Finding the Fourth Proportional to 29,399.76, 44,102.32 and 9,678.32

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Solution

The fourth proportional to 29,399.76, 44,102.32 and 9,678.32 is: 14,518.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,399.76 : 44,102.32 = 9,678.32 : x
  2. Step 2: Convert to fraction form
    29,399.76/44,102.32 = 9,678.32/x
  3. Step 3: Cross multiply
    29,399.76x = 44,102.32 × 9,678.32
  4. Step 4: Simplify right side
    29,399.76x = 426,836,365.70
  5. Step 5: Solve for x
    x = 426,836,365.70/29,399.76
  6. Step 6: Final answer
    x = 14,518.36

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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.