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Finding the Fourth Proportional to 65,197.60, 97,825.20 and 30,119.20

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Solution

The fourth proportional to 65,197.60, 97,825.20 and 30,119.20 is: 45,192.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,197.60 : 97,825.20 = 30,119.20 : x
  2. Step 2: Convert to fraction form
    65,197.60/97,825.20 = 30,119.20/x
  3. Step 3: Cross multiply
    65,197.60x = 97,825.20 × 30,119.20
  4. Step 4: Simplify right side
    65,197.60x = 2,946,416,763.84
  5. Step 5: Solve for x
    x = 2,946,416,763.84/65,197.60
  6. Step 6: Final answer
    x = 45,192.10

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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.