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Finding the Fourth Proportional to 82,654.64, 114,062.96 and 46,851.44

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Solution

The fourth proportional to 82,654.64, 114,062.96 and 46,851.44 is: 64,654.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,654.64 : 114,062.96 = 46,851.44 : x
  2. Step 2: Convert to fraction form
    82,654.64/114,062.96 = 46,851.44/x
  3. Step 3: Cross multiply
    82,654.64x = 114,062.96 × 46,851.44
  4. Step 4: Simplify right side
    82,654.64x = 5,344,013,926.66
  5. Step 5: Solve for x
    x = 5,344,013,926.66/82,654.64
  6. Step 6: Final answer
    x = 64,654.74

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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.