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Finding the Fourth Proportional to 64,827.80, 97,241.70 and 51,705.80

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Solution

The fourth proportional to 64,827.80, 97,241.70 and 51,705.80 is: 77,558.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,827.80 : 97,241.70 = 51,705.80 : x
  2. Step 2: Convert to fraction form
    64,827.80/97,241.70 = 51,705.80/x
  3. Step 3: Cross multiply
    64,827.80x = 97,241.70 × 51,705.80
  4. Step 4: Simplify right side
    64,827.80x = 5,027,959,891.86
  5. Step 5: Solve for x
    x = 5,027,959,891.86/64,827.80
  6. Step 6: Final answer
    x = 77,558.70

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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.