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Finding the Fourth Proportional to 65,197.94, 97,829.71 and 48,591.32

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Solution

The fourth proportional to 65,197.94, 97,829.71 and 48,591.32 is: 72,911.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,197.94 : 97,829.71 = 48,591.32 : x
  2. Step 2: Convert to fraction form
    65,197.94/97,829.71 = 48,591.32/x
  3. Step 3: Cross multiply
    65,197.94x = 97,829.71 × 48,591.32
  4. Step 4: Simplify right side
    65,197.94x = 4,753,674,133.49
  5. Step 5: Solve for x
    x = 4,753,674,133.49/65,197.94
  6. Step 6: Final answer
    x = 72,911.42

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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.