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Finding the Fourth Proportional to 29,785.68, 44,662.32 and 9,006.48

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Solution

The fourth proportional to 29,785.68, 44,662.32 and 9,006.48 is: 13,504.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,785.68 : 44,662.32 = 9,006.48 : x
  2. Step 2: Convert to fraction form
    29,785.68/44,662.32 = 9,006.48/x
  3. Step 3: Cross multiply
    29,785.68x = 44,662.32 × 9,006.48
  4. Step 4: Simplify right side
    29,785.68x = 402,250,291.83
  5. Step 5: Solve for x
    x = 402,250,291.83/29,785.68
  6. Step 6: Final answer
    x = 13,504.82

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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.