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Finding the Fourth Proportional to 82,452, 113,783.79 and 46,641.24

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Solution

The fourth proportional to 82,452, 113,783.79 and 46,641.24 is: 64,364.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,452 : 113,783.79 = 46,641.24 : x
  2. Step 2: Convert to fraction form
    82,452/113,783.79 = 46,641.24/x
  3. Step 3: Cross multiply
    82,452x = 113,783.79 × 46,641.24
  4. Step 4: Simplify right side
    82,452x = 5,307,017,057.50
  5. Step 5: Solve for x
    x = 5,307,017,057.50/82,452
  6. Step 6: Final answer
    x = 64,364.93

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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.