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Finding the Fourth Proportional to 89,182.89, 123,070.99 and 48,897

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Solution

The fourth proportional to 89,182.89, 123,070.99 and 48,897 is: 67,477.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,182.89 : 123,070.99 = 48,897 : x
  2. Step 2: Convert to fraction form
    89,182.89/123,070.99 = 48,897/x
  3. Step 3: Cross multiply
    89,182.89x = 123,070.99 × 48,897
  4. Step 4: Simplify right side
    89,182.89x = 6,017,802,198.03
  5. Step 5: Solve for x
    x = 6,017,802,198.03/89,182.89
  6. Step 6: Final answer
    x = 67,477.09

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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.