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Finding the Fourth Proportional to 34,395.64, 47,452.38 and 22,455.16

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Solution

The fourth proportional to 34,395.64, 47,452.38 and 22,455.16 is: 30,979.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,395.64 : 47,452.38 = 22,455.16 : x
  2. Step 2: Convert to fraction form
    34,395.64/47,452.38 = 22,455.16/x
  3. Step 3: Cross multiply
    34,395.64x = 47,452.38 × 22,455.16
  4. Step 4: Simplify right side
    34,395.64x = 1,065,550,785.28
  5. Step 5: Solve for x
    x = 1,065,550,785.28/34,395.64
  6. Step 6: Final answer
    x = 30,979.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.