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Finding the Fourth Proportional to 64,374.32, 96,561.54 and 36,614

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Solution

The fourth proportional to 64,374.32, 96,561.54 and 36,614 is: 54,921.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,374.32 : 96,561.54 = 36,614 : x
  2. Step 2: Convert to fraction form
    64,374.32/96,561.54 = 36,614/x
  3. Step 3: Cross multiply
    64,374.32x = 96,561.54 × 36,614
  4. Step 4: Simplify right side
    64,374.32x = 3,535,504,225.56
  5. Step 5: Solve for x
    x = 3,535,504,225.56/64,374.32
  6. Step 6: Final answer
    x = 54,921.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.