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Finding the Fourth Proportional to 34,154, 47,141.16 and 19,258.64

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Solution

The fourth proportional to 34,154, 47,141.16 and 19,258.64 is: 26,581.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,154 : 47,141.16 = 19,258.64 : x
  2. Step 2: Convert to fraction form
    34,154/47,141.16 = 19,258.64/x
  3. Step 3: Cross multiply
    34,154x = 47,141.16 × 19,258.64
  4. Step 4: Simplify right side
    34,154x = 907,874,629.62
  5. Step 5: Solve for x
    x = 907,874,629.62/34,154
  6. Step 6: Final answer
    x = 26,581.80

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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.