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Finding the Fourth Proportional to 82,466.37, 113,803.62 and 46,655.64

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Solution

The fourth proportional to 82,466.37, 113,803.62 and 46,655.64 is: 64,384.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,466.37 : 113,803.62 = 46,655.64 : x
  2. Step 2: Convert to fraction form
    82,466.37/113,803.62 = 46,655.64/x
  3. Step 3: Cross multiply
    82,466.37x = 113,803.62 × 46,655.64
  4. Step 4: Simplify right side
    82,466.37x = 5,309,580,725.42
  5. Step 5: Solve for x
    x = 5,309,580,725.42/82,466.37
  6. Step 6: Final answer
    x = 64,384.80

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