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Finding the Fourth Proportional to 65,201.60, 97,831.20 and 30,123.20

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Solution

The fourth proportional to 65,201.60, 97,831.20 and 30,123.20 is: 45,198.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,201.60 : 97,831.20 = 30,123.20 : x
  2. Step 2: Convert to fraction form
    65,201.60/97,831.20 = 30,123.20/x
  3. Step 3: Cross multiply
    65,201.60x = 97,831.20 × 30,123.20
  4. Step 4: Simplify right side
    65,201.60x = 2,946,988,803.84
  5. Step 5: Solve for x
    x = 2,946,988,803.84/65,201.60
  6. Step 6: Final answer
    x = 45,198.11

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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.