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Finding the Fourth Proportional to 71,258.54, 106,851.94 and 23,857.13

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Solution

The fourth proportional to 71,258.54, 106,851.94 and 23,857.13 is: 35,773.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,258.54 : 106,851.94 = 23,857.13 : x
  2. Step 2: Convert to fraction form
    71,258.54/106,851.94 = 23,857.13/x
  3. Step 3: Cross multiply
    71,258.54x = 106,851.94 × 23,857.13
  4. Step 4: Simplify right side
    71,258.54x = 2,549,180,830.82
  5. Step 5: Solve for x
    x = 2,549,180,830.82/71,258.54
  6. Step 6: Final answer
    x = 35,773.69

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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.