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Finding the Fourth Proportional to 64,977.96, 97,257.72 and 52,356.12

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Solution

The fourth proportional to 64,977.96, 97,257.72 and 52,356.12 is: 78,365.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,977.96 : 97,257.72 = 52,356.12 : x
  2. Step 2: Convert to fraction form
    64,977.96/97,257.72 = 52,356.12/x
  3. Step 3: Cross multiply
    64,977.96x = 97,257.72 × 52,356.12
  4. Step 4: Simplify right side
    64,977.96x = 5,092,036,859.25
  5. Step 5: Solve for x
    x = 5,092,036,859.25/64,977.96
  6. Step 6: Final answer
    x = 78,365.60

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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.