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Finding the Fourth Proportional to 52,854.54, 79,258.74 and 19,999.50

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Solution

The fourth proportional to 52,854.54, 79,258.74 and 19,999.50 is: 29,990.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,854.54 : 79,258.74 = 19,999.50 : x
  2. Step 2: Convert to fraction form
    52,854.54/79,258.74 = 19,999.50/x
  3. Step 3: Cross multiply
    52,854.54x = 79,258.74 × 19,999.50
  4. Step 4: Simplify right side
    52,854.54x = 1,585,135,170.63
  5. Step 5: Solve for x
    x = 1,585,135,170.63/52,854.54
  6. Step 6: Final answer
    x = 29,990.52

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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.