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Finding the Fourth Proportional to 65,350.40, 97,831.20 and 43,188.80

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Solution

The fourth proportional to 65,350.40, 97,831.20 and 43,188.80 is: 64,654.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,350.40 : 97,831.20 = 43,188.80 : x
  2. Step 2: Convert to fraction form
    65,350.40/97,831.20 = 43,188.80/x
  3. Step 3: Cross multiply
    65,350.40x = 97,831.20 × 43,188.80
  4. Step 4: Simplify right side
    65,350.40x = 4,225,212,130.56
  5. Step 5: Solve for x
    x = 4,225,212,130.56/65,350.40
  6. Step 6: Final answer
    x = 64,654.72

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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.