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Finding the Fourth Proportional to 82,348.60, 113,646.82 and 46,541.88

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Solution

The fourth proportional to 82,348.60, 113,646.82 and 46,541.88 is: 64,231.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,348.60 : 113,646.82 = 46,541.88 : x
  2. Step 2: Convert to fraction form
    82,348.60/113,646.82 = 46,541.88/x
  3. Step 3: Cross multiply
    82,348.60x = 113,646.82 × 46,541.88
  4. Step 4: Simplify right side
    82,348.60x = 5,289,336,658.82
  5. Step 5: Solve for x
    x = 5,289,336,658.82/82,348.60
  6. Step 6: Final answer
    x = 64,231.05

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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.