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Finding the Fourth Proportional to 64,505.66, 89,014.80 and 35,827.15

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Solution

The fourth proportional to 64,505.66, 89,014.80 and 35,827.15 is: 49,439.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,505.66 : 89,014.80 = 35,827.15 : x
  2. Step 2: Convert to fraction form
    64,505.66/89,014.80 = 35,827.15/x
  3. Step 3: Cross multiply
    64,505.66x = 89,014.80 × 35,827.15
  4. Step 4: Simplify right side
    64,505.66x = 3,189,146,146.75
  5. Step 5: Solve for x
    x = 3,189,146,146.75/64,505.66
  6. Step 6: Final answer
    x = 49,439.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.