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Finding the Fourth Proportional to 65,253.40, 97,880.10 and 38,944.60

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Solution

The fourth proportional to 65,253.40, 97,880.10 and 38,944.60 is: 58,416.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,253.40 : 97,880.10 = 38,944.60 : x
  2. Step 2: Convert to fraction form
    65,253.40/97,880.10 = 38,944.60/x
  3. Step 3: Cross multiply
    65,253.40x = 97,880.10 × 38,944.60
  4. Step 4: Simplify right side
    65,253.40x = 3,811,901,342.46
  5. Step 5: Solve for x
    x = 3,811,901,342.46/65,253.40
  6. Step 6: Final answer
    x = 58,416.90

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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.