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Finding the Fourth Proportional to 82,310.88, 113,582.28 and 46,504

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Solution

The fourth proportional to 82,310.88, 113,582.28 and 46,504 is: 64,171.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,310.88 : 113,582.28 = 46,504 : x
  2. Step 2: Convert to fraction form
    82,310.88/113,582.28 = 46,504/x
  3. Step 3: Cross multiply
    82,310.88x = 113,582.28 × 46,504
  4. Step 4: Simplify right side
    82,310.88x = 5,282,030,349.12
  5. Step 5: Solve for x
    x = 5,282,030,349.12/82,310.88
  6. Step 6: Final answer
    x = 64,171.72

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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.