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Finding the Fourth Proportional to 34,573.32, 47,698.59 and 20,228.64

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Solution

The fourth proportional to 34,573.32, 47,698.59 and 20,228.64 is: 27,908.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,573.32 : 47,698.59 = 20,228.64 : x
  2. Step 2: Convert to fraction form
    34,573.32/47,698.59 = 20,228.64/x
  3. Step 3: Cross multiply
    34,573.32x = 47,698.59 × 20,228.64
  4. Step 4: Simplify right side
    34,573.32x = 964,877,605.62
  5. Step 5: Solve for x
    x = 964,877,605.62/34,573.32
  6. Step 6: Final answer
    x = 27,908.16

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