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Finding the Fourth Proportional to 65,117.86, 97,410.36 and 49,204.60

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Solution

The fourth proportional to 65,117.86, 97,410.36 and 49,204.60 is: 73,605.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,117.86 : 97,410.36 = 49,204.60 : x
  2. Step 2: Convert to fraction form
    65,117.86/97,410.36 = 49,204.60/x
  3. Step 3: Cross multiply
    65,117.86x = 97,410.36 × 49,204.60
  4. Step 4: Simplify right side
    65,117.86x = 4,793,037,799.66
  5. Step 5: Solve for x
    x = 4,793,037,799.66/65,117.86
  6. Step 6: Final answer
    x = 73,605.58

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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.