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Finding the Fourth Proportional to 53,207.82, 79,811.19 and 15,768.18

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Solution

The fourth proportional to 53,207.82, 79,811.19 and 15,768.18 is: 23,652.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,207.82 : 79,811.19 = 15,768.18 : x
  2. Step 2: Convert to fraction form
    53,207.82/79,811.19 = 15,768.18/x
  3. Step 3: Cross multiply
    53,207.82x = 79,811.19 × 15,768.18
  4. Step 4: Simplify right side
    53,207.82x = 1,258,477,209.93
  5. Step 5: Solve for x
    x = 1,258,477,209.93/53,207.82
  6. Step 6: Final answer
    x = 23,652.11

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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.