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Finding the Fourth Proportional to 71,284, 98,347.86 and 41,068.53

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Solution

The fourth proportional to 71,284, 98,347.86 and 41,068.53 is: 56,660.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,284 : 98,347.86 = 41,068.53 : x
  2. Step 2: Convert to fraction form
    71,284/98,347.86 = 41,068.53/x
  3. Step 3: Cross multiply
    71,284x = 98,347.86 × 41,068.53
  4. Step 4: Simplify right side
    71,284x = 4,039,002,038.85
  5. Step 5: Solve for x
    x = 4,039,002,038.85/71,284
  6. Step 6: Final answer
    x = 56,660.71

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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.