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Finding the Fourth Proportional to 64,796.78, 97,054.54 and 31,446.77

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Solution

The fourth proportional to 64,796.78, 97,054.54 and 31,446.77 is: 47,101.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,796.78 : 97,054.54 = 31,446.77 : x
  2. Step 2: Convert to fraction form
    64,796.78/97,054.54 = 31,446.77/x
  3. Step 3: Cross multiply
    64,796.78x = 97,054.54 × 31,446.77
  4. Step 4: Simplify right side
    64,796.78x = 3,052,051,232.95
  5. Step 5: Solve for x
    x = 3,052,051,232.95/64,796.78
  6. Step 6: Final answer
    x = 47,101.89

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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.