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Finding the Fourth Proportional to 72,728.64, 109,095.48 and 20,142

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Solution

The fourth proportional to 72,728.64, 109,095.48 and 20,142 is: 30,213.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,728.64 : 109,095.48 = 20,142 : x
  2. Step 2: Convert to fraction form
    72,728.64/109,095.48 = 20,142/x
  3. Step 3: Cross multiply
    72,728.64x = 109,095.48 × 20,142
  4. Step 4: Simplify right side
    72,728.64x = 2,197,401,158.16
  5. Step 5: Solve for x
    x = 2,197,401,158.16/72,728.64
  6. Step 6: Final answer
    x = 30,213.70

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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.